Nonabelian Gauged Liear Sigma Model (GLSM) studys the two dimensional quantum field theory for such targets as flag varieities and quiver varieties. The same targets provide a rich sources of examples for geometric representation theory. Via the recent works of Maulik-Okounkov, there is a strong indication that two areas may be related. The workshop aims to bring top experts from mathematics and physics together to exam these possible connections.


June 1 (Monday)

09:20-09:30 Opening remarks
09:30-10:30 Kentaro Hori (University of Tokyo) Linear sigma models with non-Abelian gauge groups
--- strongly coupled phases and the grade restriction rule
10:30-11:00 Group picture, Tea time
11:00-12:00 Yongbin Ruan (University of Michigan and Peking University) Quantum cohomology of Nakajima quiver and quantum group, after Maulik and Okounkov
12:00-14:00 Lunch and break
14:00-15:00 Tyler Jarvis (Brigham Young University) A mathematical theory of gauged linear sigma model I
15:00-15:30 Tea time
15:30-16:30 Hao Zheng (Peking University) Microlocal perverse sheaves on quiver varieties
16:30-17:00 Tea time
17:00-18:00 Mauricio Romo (University of Tokyo) Partition functions and invariants of 3-folds

June 2 (Tuesday)

09:30-10:30 Christopher Woodward (Rutgers University) Quantum K-theory of GIT quotients
10:30-11:00 Tea time
11:00-12:00 Hans Jockers (University of Bonn) Skew Symplectic Sigma Models and Derived Equivalences for Calabi-Yau manifolds
12:00-14:00 Lunch and break
14:00-15:00 Kazuo Hosomichi (National Taiwan University) Codimension two defects in gauge theories and sphere partition functions
15:00-15:30 Tea time
15:30-16:30 Changjian Fu (Sichuan University) Algebras arising from cluster tubes and cluster algebras of type C
16:30-17:00 Tea time
17:00-18:00 Gehao Wang (Peking University) Connecting the Kontsevich-Witten and Hodge tau-functions using the GL(\infty) operator
18:30 Conference banquet

June 3 (Wednesday)

09:30-10:30 Amihay Hanany (Imperial College London) Coulomb Branch Hilbert Series and the Moduli Space of Instantons
10:30-11:00 Tea time
11:00-12:00 Huijun Fan (Peking University) A mathematical theory of gauged linear sigma model II
12:00 Lunch

June 4 (Thursday)

09:30-10:30 Liangang Peng (Sichuan University) Semi-derived Hall algebras of hereditary categories with tilting object
10:30-11:00 Tea time
11:00-12:00 Will Donovan (University of Tokyo) Pfaffian-Grassmannian equivalences and related constructions
12:00-14:00 Lunch and break
14:00-15:00 Ionut Ciocan-Fontanine (University of Minnesota) Wall-crossing in quasimap theory
15:00-15:30 Tea time
15:30-16:30 Richard Eager (McGill University) Derived Equivalences from non-Abelian Gauged Linear Sigma Models
16:30-17:00 Tea time
17:00-18:00 Young-Hoon Kiem (Seoul National University) Le Potier’s stability for quasimaps and wall crossing

June 5 (Friday)

09:30-10:30 Francesco Benini (Imperial College London) A topologically twisted index for 3d SUSY gauge theories
10:30-11:00 Tea time
11:00-12:00 Wei-Ping Li (The Hong Kong University of Science and Technology) Master Spin Fields on the Quintic
12:00-14:00 Lunch and break
14:00-15:00 Bumsig Kim (Korea Institute for Advanced Study) Elliptic Quasimap Invariants
15:00-15:30 Tea time
15:30-16:30 Fan Xu (Peking University) A Ringel-Hall algebra and its quantum group
16:30-17:00 Tea time
17:00-18:00 Youjin Zhang (Tsinghua University) FJRW invariants and Drinfeld-Sokolov hierarchies
Group Photo Group Photo [Click to download]

Scientific Committee

Kentaro Hori

Yongbin Ruan

Organizing Committee

Huijun Fan

Bohan Fang

Si-qi Liu

Xiaobo Liu

Yongbin Ruan

Invited speakers

Francesco Benini

Ionut Ciocan-Fontanine

Will Donovan

Richard Eager

Huijun Fan

Changjian Fu

Amihay Hanany

Kentaro Hori

Kazuo Hosomichi

Tyler Jarvis

Hans Jockers

Young-Hoon Kiem

Bumsig Kim

Wei Ping Li

Davesh Maulik

Hiraku Nakajima

Liangang Peng

Mauricio Romo

Gehao Wang

Christopher Woodward

Fan Xu

Youjin Zhang

Hao Zheng


Beijing International Center for Mathematical Research |