ALGEBRAIC GEOMETRYIN EAST ASIA

PROGRAM&

ABSTRACTS

HanoiOctober 23-26, 2018 .

ALGEBRAIC GEOMETRY IN EAST ASIA

Hanoi, October 23-26, 2018

Venue

Conference Hall, The 2nd Floor, A6 BuildingInstitute of Mathematics - Vietnam Academy of Science and Technology (VAST)

Host Institution

Institute of Mathematics - Vietnam Academy of Science and Technology

Organizing Committee

• Doan Trung Cuong (Institute of Mathematics - VAST)

• Dinh Tien Cuong (National University of Singapore)

• Phung Ho Hai (Institute of Mathematics - VAST)

• Keiji Oguiso (University of Tokyo)

• Ngo Viet Trung (Institute of Mathematics - VAST)

Scientific Committee

• Jungkai Chen (National Taiwan University)

• Phung Ho Hai (Institute of Mathematics - VAST)

• Yujiro Kawamata (University of Tokyo)

• Jong-Hae Keum (Korea Institute for Advanced Study)

• Wei-Peng Li (Hong Kong University of Science and Technology)

• Xiao-Tao Sun (Tianjin University)

• De-Qi Zhang (National University of Singapore)

Sponsors

• Institute of Mathematics - Vietnam Academy of Science and Technology

• National Foundation for Science and Technology Development, Vietnam(NAFOSTED)

1

PROGRAM

Tuesday, Oct. 23

Morning

8:00-9:00 Registration

9:00-9:10 Opening

Chairman Jungkai Chen

9:10-10:10 Distinguished lectureYujiro Kawamata (University of Tokyo)On non-commutative deformations of simple collections and ap-plications

10:30-11:10 Kyoung-Seog Lee (Center for Geometry and Physics - Institutefor Basic Science)Derived categories and Ulrich bundles on some Fano manifolds

11:20-12:00 Zheng Hua (Hong Kong University)Cluster category and rational curve

Afternoon

Chairman Sijong Kwak

13:30-14:10 Xin Lu (East China Normal University)Canonically fibered surfaces of general type

14:30-15:10 Wenfei Liu (Xiamen University)On nonvanishing and abundance for generalized polarized sur-faces

15:30-16:10 Chen Jiang (Kavli Institute for the Physics and Mathematicsof the Universe)Noether inequality for algebraic threefolds

16:20-17:00 Young Rock Kim (Hankuk University of Foreign Studies)The Strong Lefschetz property and representation theory

5

Wednesday, Oct. 24

Morning

Chairman Keiji Oguiso

9:00-10:00 Distinguished lectureJun-Muk Hwang (Korea Institute for Advanced Study)On Hirschowitz’s conjecture on the formal principle

10:30-11:10 Hsueh-Yung Lin (University of Bonn)On the existence of algebraic approximations of compact Kahlermanifolds

11:20-12:00 Zhi Jiang (Fudan university)Cohomological rank functions and Severi type inequalities

Afternoon

Chairman Phung Ho Hai

13:30-14:10 Wing Keung To (National University of Singapore)Characterization of certain positive polynomials

14:30-15:10 Dang Tuan Hiep (National Center for Theoretical Sciences, Tai-wan, and Da Lat University, Vietnam)Gromov-Witten invariants of the complex Lagrangian Grass-mannian

15:30-16:10 Young-Hoon Kiem (Seoul National University)Cosection localization and quantum singularity theory

16:20-17:00 Le Quy Thuong (Vietnam National University - Hanoi)On the equivariant motivic integration and its application

Evening

18:45-21:00 Banquet (Jaspas Restaurant, The 4th Floor of Hanoi Tower,49 Hai Ba Trung, Hoan Kiem, Hanoi)

6

Thursday, Oct. 25

Morning

Chairman Le Tuan Hoa

9:00-9:40 Takuzo Okada (Saga University)Failure of stable rationality of various algebraic varieties

9:50-10:30 Kyusik Hong (Korea Institute for Advanced Study)Irrational nodal quartic threefolds

10:50-11:30 Joonyeong Won (Center for Geometry and Physics-Institute forBasic Science)Cylinders in rational surfaces

11:40-12:20 Truong Trung Tuyen (University of Oslo)A countable characterisation of the birationality problem

Afternoon

Chairman Xiaotao Sun

14:00-14:40 Atsushi Ito (Nagoya University)On Loewy filtrations and K-stability of Fano varieties with non-reductive automorphism groups

15:00-15:40 Kento Fujita (Osaka University)Openness results for uniform K-stability

16:00-16:40 Kwok Wai Chan (Chinese University of Hong Kong)Toric SYZ

16:50-17:30 Conan Leung (Chinese University of Hong Kong)Homological projective duality and categorical Plucker formula

7

Friday, Oct. 26

Morning

Chairman Ngo Viet Trung

9:00-9:40 Tien-Cuong Dinh (National University of Singapore)Derived length of zero entropy groups acting on compact Kaeh-ler manifolds

9:50-10:30 Shin-Yao Jow (National Tsing-Hua University)Demailly’s conjecture on Waldschmidt constants for sufficientlymany points in Pn

10:50-11:30 Qizheng Yin (Peking University)Special cycles on holomorphic symplectic varieties

11:40-12:20 Sz-Sheng Wang (Tsing-Hua University)The movable fan of certain Calabi–Yau threefolds of Picardnumber two

Afternoon

Chairman JongHae Keum

14:00-14:40 Yusuke Nakamura (University of Tokyo)A vanishing theorem of Witt-vector cohomology on Fano three-folds

15:00-15:40 Pham Hung Quy (FPT University, Hanoi)On the ideal theory of F-singularities

16:00-16:40 Yifei Chen (Chinese Academy of Sciences)Generalized KK-trace and semi-positivity on positive characte-ristic fields

16:50-17:30 Nguyen Duy Tan (Institute of Mathematics, VAST)Triple Massey products in Galois cohomology

8

Walking map

Le Nid Hotel (38 Hai Ba Trung) to Jaspas Restaurant(Banquet place, the 4th floor of Hanoi Tower, 49 Hai Ba Trung)

BanquetTime: 18:45 to 21:00Place: Jaspas Restaurant

The 4th floor of Hanoi Tower, 49 Hai Ba Trung, Hoan Kiem, Hanoi

Distance to Jaspas Restaurant:- From Le Nid hotel at 38 Hai Ba Trung: 650 m- From Le Nid hotel at 54 Tho Nhuom: 30 m.

9

ABSTRACTS

11

GENERALIZED KK-TRACE AND SEMI-POSITIVITY ONPOSITIVE CHARACTERISTIC FIELDS

Yifei Chen

Chinese Academy of Sciences

In this talk, we will introduce some semi-positivity results on positive charac-teristic field. Compared with characteristic zero, semi-positivity on positivecharacteristic is subtle. We generalize the classical KK-trace for abelian varietyover functional field. As an application, we get some semi-positivity results fora fibration over a curve. This is a joint work with Yi Gu.

TORIC SYZ

Kwokwai Chan

Chinese University of Hong Kong

In this talk, I will survey recent developments in the study of the geometry ofmirror symmetry for toric varieties from the point of view of the influentialStrominger-Yau-Zaslow (SYZ) conjecture. Most of the content will be based onvarious joint works with Cho, Lau, Leung, Ma and Tseng. The research reportedin this talk was substantially supported by grants from the Research GrantsCouncil of the Hong Kong Special Administrative Region, China (Project No.CUHK14302015, CUHK14314516 and CUHK14302617).

13

OPENNESS RESULTS FOR UNIFORM K-STABILITY

Kento Fujita

Osaka University

It is expected that several “openness” results holds for uniform K-stability ofpolarized varieties. In this talk, I will discuss certain partial results for thisproblem.

DERIVED LENGTH OF ZERO ENTROPY GROUPS ACTINGON COMPACT KAEHLER MANIFOLDS

Tien-Cuong Dinh

National University of Singapore

Let X be a compact Kaehler manifold. Let G be a group of zero entropyautomorphisms of X and G0 the set of elements in G which are isotopic to theidentity. We prove that, after replacing G by a suitable finite-index subgroup,G/G0 is a unipotent group of derived length at most dimX-1. We also studythe algebro-geometric structure of X when it admits such a group action withmaximal derived length dimX-1. This talk is based on my joint work with KeijiOguiso and De-Qi Zhang.

14

IRRATIONAL NODAL QUARTIC THREEFOLDS

Kyusik Hong

Korea Institute for Advanced Study

We will discuss the factoriality of nodal quartic threefolds in P4. Here, factorialitysimply means that every Weil divisor is Cartier, and nodal means having atmost isolated ordinary double points. It is well-known that factorial nodalquartic threefolds in P4 are irrational (Iskovskikh, Manin, Mella). Thus, as anapplication we present new examples of irrational quartic threefolds.

GROMOV-WITTEN INVARIANTS OF THE COMPLEXLAGRANGIAN GRASSMANNIAN

Dang Tuan Hiep

National Center for Theoretical Sciences, Taiwan, and Da Lat University, Vietnam

The complex Lagrangian Grassmannian LG(n) is the homogeneous space ofLagrangian subspaces of a complex symplectic vector space of dimension 2n.The 3-point genus 0 Gromov-Witten invariants of LG(n) count the number ofrational curves of degree d in LG(n) interesting with three Schubert varietiesin general position. In this talk, we are interested in the computation of theseinvariants. More concretely, we show that they can be expressed as intersectionnumbers on the ordinary Grassmannian.

15

ON HIRSCHOWITZ’S CONJECTURE ON THE FORMALPRINCIPLE

Jun-Muk Hwang

Korea Institute for Advanced Study

A compact complex submanifold of a complex manifold is said to satisfy theformal principle if its formal neighborhood determines its germ of analyticneighborhoods. In 1981, Hirschowitz conjectured that an unobstructed subma-nifold satisfies the formal principle if its normal bundle is globally generated. Iexplain an approach to this conjecture by the equivalence method for geometricstructures.

CLUSTER CATEGORY AND RATIONAL CURVE

Zheng Hua

Hong Kong University

A rational curve C in a Calabi-Yau 3-fold is called nc rigid if the noncommutativedeformation of its structure sheaf is represented by a finite dimensional algebra.We associated to each nc rigid curve a cluster category in the sense of Amiot. Inthe case of contractible rational curve, this categorifies the contraction algebraof Donovan and Wemyss. Via categorification, we prove that 3-dimensionalsimple flops are classified by the contraction algebra together with a canonicalclass in its 0-th Hochschild homology determined by the CY structure. Thetalk is based on the joint work with Gui-Song Zhou and a work in progressjoint with Bernhard Keller.

16

COHOMOLOGICAL RANK FUNCTIONS ANDSEVERI TYPE INEQUALITIES

Zhi Jiang

Fudan University

Cohomological rank functions are defined for complexes of coherent sheaveson polarized abelian varieties. Its basic properties have been studied by Barja-Pardini-Stoppino, Pareschi and myself. I will explain in this talk how to applycohomological rank functions to prove Severi type inequalities for irregularvarieties.

ON LOEWY FILTRATIONS AND K-STABILITYOF FANO VARIETIES

WITH NON-REDUCTIVE AUTOMORPHISM GROUPS

Atsushi Ito

Naogya University

It is known that the automorphism group of a K-polystable Fano manifoldis reductive. Codogni and Dervan construct a canonical filtration of the sec-tion ring, called Loewy filtration, and conjecture that the Loewy filtrationdestabilizes any Fano varieties, or more generally any polarized variety, withnon-reductive automorphism group. In this talk, I will explain some examplesrelated to Loewy filtrations.

17

NOETHER INEQUALITY FOR ALGEBRAIC THREEFOLDS

Chen Jiang

Kavli Institute for the Physics and Mathematics of the Universe

For varieties of general type, it is natural to study the distribution of birationalinvariants and relations between invariants. We are interested in the relationbetween two fundamental birational invariants: the geometric genus and thecanonical volume. For a minimal projective surface S, M. Noether proved thatK2

S ≥ 2pg(S)− 4, which is known as the Noether inequality. It is thus naturaland important to study the higher dimensional analogue.In this talk, I will talk about recent work on the Noether inequality for projective3-folds. I will show that the inequality vol(X) ≥ 4

3pg(X) − 10

3holds for all

projective 3-folds X of general type with either pg(X) ≤ 4 or pg(X) ≥ 27,where pg(X) is the geometric genus and vol(X) is the canonical volume. Thisinequality is optimal due to known examples found by M. Kobayashi in 1992.This proves that the optimal Noether inequality holds for all but finitely manyfamilies of projective 3-folds (up to deformation and birational equivalence). Iwill briefly recall the history on this problem and give some idea of the proof.This is a joint work with Jungkai A. Chen and Meng Chen.

18

DEMAILLY’S CONJECTURE ON WALDSCHMIDTCONSTANTS FOR SUFFICIENTLY MANY POINTS IN PN

Shin-Yao Jow

National Tsing-Hua University

Let Z be a set of s general points in the projective space Pn over an algebraicallyclosed field F . For each positive integer m, let α(mZ) denote the smallest degreeof nonzero homogeneous polynomials in F [x0, . . . , xn] that vanish to order atleast m at every point of Z. The Waldschmidt constant α(Z) of Z is definedby the limit

α(Z) = limm→∞

α(mZ)

m.

Demailly conjectured that

α(Z) ≥ α(mZ) + n− 1

m+ n− 1.

Malara, Szemberg, and Szpond proved that Demailly’s conjecture holds if

b n√sc − 2 ≥ m− 1.

We improve their result and show that Demailly’s conjecture holds if

b n√sc − 2 ≥ 2ε

n− 1(m− 1),

where 0 ≤ ε < 1 is the fractional part of n√s. In particular, if ε = 0, namely

n√s ∈ N, then Demailly’s conjecture holds for all m ∈ N. We also show that the

inequality conjectured by Demailly can be derived from another conjecturalinequality

α(Z) ≥ n√s,

which was conjectured by Iarrobino (and by Nagata for n = 2) to hold if

s ≥ max{n+ 7, 2n}.

19

COSECTION LOCALIZATION AND QUANTUMSINGULARITY THEORY

Young-Hoon Kiem

Seoul National University

I will discuss a recent joint work (arXiv:1806.00116) with Jun Li in which wegeneralize the cosection localization to intersection homology and Borel-Moorehomology that provides us with a purely topological construction of FJRWinvariants and some GLSM invariants for both broad and narrow sectors.

ON NON-COMMUTATIVE DEFORMATIONS OF SIMPLECOLLECTIONS AND APPLICATIONS

Yujiro Kawamata

University of Tokyo

I will explain a general theory of non-commutative deformations of simplecollections, the deformations whose parameter algebras are non-commutative.Then I apply the results to the case of categories of perverse coherent sheavesdefined by using the Bondal-Rickard equivalence arising from a tilting bundlefor a projective morphism. I will determine the versal deformations for somesets of simple objects in some categories of perverse coherent sheaves.

20

DERIVED CATEGORIES AND ULRICH BUNDLESON SOME FANO MANIFOLDS

Kyoung-Seog Lee

Center for Geometry and Physics - Institute for Basic Science

Ulrich bundles are special vector bundles on algebraic varieties which drawlots of attention in these days. In the first part of this talk, I will review basicdefinitions and properties and survey recent developments about Ulrich bundles.Then I will discuss the existence and moduli problem of Ulrich bundles on someFano manifolds using semiorthogonal decompositions of derived categories ofcoherent sheaves and several other techniques. This talk is based on joint workswith Yonghwa Cho, Yeongrak Kim and Kyeong-Dong Park.

THE STRONG LEFSCHETZ PROPERTY ANDREPRESENTATION THEORY

Young Rock Kim

Hankuk University of Foreign Studies

We investigate the structure and properties of an Artinian monomial com-plete intersection quotient A = k[x1, ..., xn]/(xd1, ..., x

dn) combining the sl2-

representation theory and Schur-Weyl duality. In particular, we constructan explicit basis of A which is compatible with the Sn-module structure whenn = 3 and d = 3, 4, 5.

21

ON THE EXISTENCE OF ALGEBRAIC APPROXIMATIONSOF COMPACT KHLER MANIFOLDS

Hsueh-Yung Lin

University of Bonn

Let X be a compact Khler manifold. The so-called Kodaira problem askswhether X has arbitrarily small deformations to some projective variety. WhileKodaira proved that such deformations always exist for surfaces. Starting fromdimension 4, there are examples constructed by Voisin which answer the Kodairaproblem in the negative. In this talk, we will focus on threefolds, as well ascompact Khler manifolds of algebraic dimension a(X) = dim(X)− 1. We willexplain our positive solution to the Kodaira problem for these manifolds.

HOMOLOGICAL PROJECTIVE DUALITY ANDCATEGORICAL PLUCKER FORMULA

Conan Leung

Chinese University of Hong Kong

In this talk, I will explain categorical relationship of intersection of projectivevarieties and intersection of their projective duals. This is a joint work withQingyuan Jiang.

22

CANONICALLY FIBERED SURFACES OF GENERAL TYPE

Xin Lu

East China Normal University

The canonical map of a surface of general type is called fibered, if its canonicalmap induces a fibration. Beauville showed that the genus of such a fibration isbounded from above by 5 when the geometric genus is large. Examples withthe genus equal to 2 or 3 have been constructed. Xiao asked whether thereexists a surface of general type with large geometric genus, whose canonicalmap is fibered of genus greater than 3? In this talk, I will report the first suchexamples with the genus equal to 4.

ON NONVANISHING AND ABUNDANCE FORGENERALIZED POLARIZED SURFACES

Wenfei Liu

Xiamen University

Generalized polarized pairs were introduced by Caucher Birkar and De-QiZhang to deal with the effectivity of Iitaka fibrations. They also appear inmany other contexts, prominently in the recent proof of the BAB conjectureby Birkar. It is natural to ask which properties of usual pairs still hold forgeneralized polarized pairs. In this talk, I will report some recent progress onthe nonvanishing and abundance for generalized polarized pairs in dimensiontwo. This is a joint work with Jingjun Han.

23

FAILURE OF STABLE RATIONALITY OF VARIOUSALGEBRAIC VARIETIES

Takuzo Okada

Saga University

I will overview the degeneration method proving failure of stable rationality dueto Voisin, Colliot-Thelne, Pirutka, Totaro, etc., and talk about its applicationto conic bundles, del Pezzo fibrations and Fano varieties.

A VANISHING THEOREM OF WITT-VECTORCOHOMOLOGY ON FANO THREEFOLDS

Yusuke Nakamura

University of Tokyo

I will explain that the dual complex of a log Fano pair is simply connected. Asa corollary, we can get a vanishing theorem of Witt-vector cohomology for logcanonical Fano threefolds. This is an analogy of the Ambro-Fujino vanishingtheorem in characteristic zero.

24

TRIPLE MASSEY PRODUCTS IN GALOIS COHOMOLOGY

Nguyen Duy Tan

Institute of Mathematics, Vietnam Academy of Science and Technology

In this talk I will discuss the vanishing of triple Massey products in the Galoiscohomology of an arbitrary field. Some applications to the structure of absoluteGalois groups and some results on the vanishing of higher Massey products willbe also mentioned.

ON THE IDEAL THEORY OF F -SINGULARITIES

Pham Hung Quy

FPT University

We consider a local ring containing a field of prime characterisitc. We study therelation between some singularities of the ring defined in terms of Frobeniusaction on local cohomology and some closure operations of parameter ideals.

25

CHARACTERIZATION OF CERTAIN POSITIVEPOLYNOMIALS

Wing-Keung To

National University of Singapore

In this talk, I will discuss some joint work with Colin Tan which gives acharacterization of those polynomials whose sufficiently high powers havefully positive coefficients. It turns out that the toric geometry associated topolynomials plays a key role in the formulation and proof of the result. Somebackground leading to the result and some related work on an effective HermitianPositivstellensatz will be also discussed.

ON THE EQUIVARIANT MOTIVIC INTEGRATIONAND ITS APPLICATION

Le Quy Thuong

University of Science - Vietnam National University, Hanoi

It is well known that Denef-Loeser’s motivic integration has several importantapplications to singularity theory via the so-called motivic Milnor fiber overthe complex numbers, a virtual variety endowed with an action of the profinitegroup of roots of unity. In a recent work, we develop Denef-Loeser’s motivicintegration to the equivariant version with respect to an arbitrary profinitegroup and use it to prove the full integral identity conjecture for regularfunctions. The talk will mention principal points in our work. This is joint withNguyen Hong Duc.

26

THE MOVABLE FAN OF CERTAIN CALABI–YAUTHREEFOLDS OF PICARD NUMBER TWO

Sz-Sheng Wang

Tsing-Hua University

For a Calabi–Yau threefold (CY3), it is known that the movable cone is coveredby the nef cones of all its birational minimal models. This arrangement iscalled the movable fan. We study the movable fan of certain CY3s in projectivebundles which admits a determinantal contraction to a CY3s with only ordinarydouble points. Our construction unifies certain examples in literature. This isjoint work with Ching-Jui Lai.

A COUNTABLE CHARACTERISATION OFTHE BIRATIONALITY PROBLEM

Truong Trung Tuyen

University of Oslo

Given two algebraic varieties X and Y in Pn, I will present a way to construct asequence of algebraic varieties (whose ideals are explicitly determined from theideals defining X and Y ), whose solution set is non-empty iff the two varietiesare birational to each other. For similar questions such as whether X and Yare isomorphic to each other, there are similar constructions. Based on this,I will propose a rough approach toward the rationality problem by studyingIitakas fibrations.

27

SPECIAL CYCLES ON HOLOMORPHIC SYMPLECTICVARIETIES

Qizheng Yin

Peking University

I will discuss the study of Chow rings of holomorphic symplectic (a.k.a. hyper-kaehler) varieties initiated by Beauville and Voisin. Their conjectures predictHodge-like decompositions for these Chow rings. Then I will mainly focus on arecent approach via special cycles with respect to the holomorphic symplecticform. Various questions and examples will be presented. This is based on jointwork with Georg Oberdieck, Junliang Shen, and Xiaolei Zhao.

CYLINDERS IN RATIONAL SURFACES

Joonyeong Won

Center for Geometry and Physics - Institute for Basic Science

Cylindricity has good use for the existence of certain unipotent group action ofaffine space over the variety as well as a way of the compactification.We will discuss about the existence and the non-existence of cylinders in Fanovariety and rational surfaces.

28

LIST OF PARTICIPANTS

29

Ta Thi Hoai AnInstitute of Mathematics - VASTtthan@math.ac.vn

Tran Nguyen AnThai Nguyen University of Educationantrannguyen@gmail.com

Dao Phuong BacUniversity of Science - Vietnam Natio-nal University, Hanoidpbac.vnu@gmail.com

Lawrence J A BarrottNational Center for Theoretical Sciences,Taiwanlawrencebarrott@gmail.com

Du Thi Hoa BinhHa Tay Teacher Training Collegehoabinhcdsp@gmail.com

Kwok Wai ChanChinese University of Hong Kongkwchan@math.cuhk.edu.hk

Nguyen Van ChauInstitute of Mathematics - VASTnvchau@math.ac.vn

Hsin-Ku ChenNational Taiwan Universityd02221002@ntu.edu.tw

Jungkai ChenNational Taiwan Universityjkchen@ntu.edu.tw

Yifei ChenChinese Academy of Sciencesyifeichen@amss.ac.cn

Jun Ho ChoeKorea Advanced Institute of Science andTechnologyjunhochoe@kaist.ac.kr

Do Viet CuongUniversity of Science - Vietnam Natio-nal University, Hanoivcuong.do@gmail.com

Doan Trung CuongInstitute of Mathematics - VASTdtcuong@math.ac.vn

Nguyen Tu CuongInstitute of Mathematics - VASTntcuong@math.ac.vn

Tien-Cuong DinhNational University of Singaporematdtc@nus.edu.sg

Nguyen Viet DungInstitute of Mathematics - VASTvietdung@math.ac.vn

Kento FujitaOsaka Universityfujita@kurims.kyoto-u.ac.jp

Phung Ho HaiInstitute of Mathematics - VASTphung@math.ac.vn

Dang Tuan HiepNational Center for Theoretical Sciences,Taiwan, and Da Lat University, Vietnamhdang@ncts.ntu.edu.tw

Pham Hoang HiepInstitute of Mathematics - VASTphhiep@math.ac.vn

30

Le Tuan HoaInstitute of Mathematics - VASTlthoa@math.ac.vn

Do Trong HoangInstitute of Mathematics - VASTdthoang@math.ac.vn

Kyusik HongKorea Institute for Advanced Studykszoo@kias.re.kr

Nguyen Dang HopInstitute of Mathematics - VASTndhop@math.ac.vn

Zheng HuaHong Kong Universityzheng.hua.zju@gmail.com

Jun-Muk HwangKorea Institute for Advanced Studyjmhwang@kias.re.kr

Atsushi ItoNagoya Universityatsushi.ito@math.nagoya-u.ac.jp

Chen JiangKavli Institute for the Physics and Ma-thematics of the Universechen.jiang@ipmu.jp

Zhi JiangFudan Universityzhijiang@fudan.edu.cn

Shin-Yao JowNational Tsing-Hua Universitysyjow@math.nthu.edu.tw

Yujiro KawamataUniversity of Tokyokawamata@ms.u-tokyo.ac.jp

JongHae KeumKorea Institute for Advanced Studyjhkeum@kias.re.kr

Ha Huy KhoaiInstitute of Mathematics - VAST andThang Long Universityhhkhoai@math.ac.vn

Vu The KhoiInstitute of Mathematics - VASTvtkhoi@math.ac.vn

Young-Hoon KiemSeoul National Universityyhkiem@gmail.com

Do Van KienHanoi University of Pedagogy No 2dovankien@hpu2.edu.vn

Young Rock KimHankuk University of Foreign Studiesrocky777@hufs.ac.kr

Sijong KwakKorea Advanced Institute of Science andTechnologysjkwak@kaist.ac.kr

Cheolgyu LeeKorea Institute for Advanced Studyghost279.math@gmail.com

Kyoung-Seog LeeCenter for Geometry and Physics-Institute for Basic Sciencekyoungseog02@gmail.com

31

Sanghyeon LeeKorea Institute for Advanced Studysanghyeon@kias.re.kr

Conan LeungChinese University of Hong Kongleung@math.cuhk.edu.hk

Hsueh-Yung LinUniversity of Bonnhsuehyung.lin.math@gmail.com

Wenfei LiuXiamen Universitywliu@xmu.edu.cn

Xin LuEast China Normal Universityxlv@math.ecnu.edu.cn

Yusuke NakamuraUniversity of Tokyonakamura@ms.u-tokyo.ac.jp

Pham Hong NamUniversity of Science - Thai NguyenUniversityphamhongnam2106@gmail.com

Tran Giang NamInstitute of Mathematics - VASTtgnam@math.ac.vn

Keiji OguisoUniversity of Tokyooguiso@math.sci.osaka-u.ac.jp

Jeongseok OhKorea Institute for Advanced StudyJeongseok@kias.re.kr

Takuzo OkadaSaga Universityokada@cc.saga-u.ac.jp

Jinhyung ParkKorea Institute for Advanced Studyparkjh13@kias.re.kr

Jongil ParkSeoul National Universityjipark@snu.ac.kr

Pham Hung QuyFPT University, Hanoiquyph@fe.edu.vn

Xiaotao SunTianjin Universityxsun@math.ac.cn

Pho Duc TaiUniversity of Science - Vietnam Natio-nal University, Hanoiphoductai@gmail.com

Pham Thanh TamHanoi University of Pedagogy No 2phamthanhtam@hpu2.edu.vn

Nguyen Duy TanInstitute of Mathematics, Vietnam Aca-demy of Science and Technologyduytan@math.ac.vn

Do Duc ThaiHanoi National University of Educationducthai.do@gmail.com

Nguyen Quoc ThangInstitute of Mathematics - VASTnqthang@math.ac.vn

32

Nguyen Tat ThangInstitute of Mathematics - VASTntthang@math.ac.vn

Le Quy ThuongUniversity of Science - Vietnam Natio-nal University, Hanoileqthuong@gmail.com

Dinh Sy TiepInstitute of Mathematics - VASTdstiep@math.ac.vn

Wing Keung ToNational University of Singaporemattowk@nus.edu.sg

Nguyen Thi TraHanoi University of Pedagogy No 2nguyentra.bsu@gmail.com

Ngo Viet TrungInstitute of Mathematics - VASTnvtrung@math.ac.vn

Tran Nam TrungInstitute of Mathematics - VASTtntrung@math.ac.vn

Truong Trung TuyenUniversity of Oslotruongt@umail.iu.edu

Nguyen Bich VanInstitute of Mathematics - VASTnbvan@math.ac.vn

Ha Huy VuiInstitute of Mathematics - VAST andThang Long Universityhhvui@math.ac.vn

Nguyen Chu Gia VuongInstitute of Mathematics - VASTncgvuong@math.ac.vn

Sz-Sheng WangTsing-Hua Universitysswang@math.tsinghua.edu.cn

Joonyeong WonCenter for Geometry and Physics-Institute for Basic Scienceleonwon@kias.re.kr

Kwok Kin WongKorea Institute for Advanced Studykkwongm@kias.re.kr

Qizheng YinPeking Universityyinqizheng@math.pku.edu.cn

Youngho YoonSeoul National Universitymathyyoon@gmail.com

33

Institute of Mathematics - Vietnam Academy of Science and Technology