Pengcheng Li
李鹏程 · Representation Theory
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About
About
I am a postdoctoral researcher in the Department of Mathematics at the University of Hong Kong, working with Professor Xuhua He. Previously, I was a postdoctoral researcher at the Yau Mathematical Sciences Center, Tsinghua University (2022–2025), working with Professor Peng Shan. I received my Ph.D. from Peking University in 2022 under the supervision of Professor Jiping Zhang.
My research is in representation theory, with interests in finite reductive groups, categorification, relative Langlands duality, and affine vertex algebras.
Contact pcli25@hku.hk
Alternative email: pcli17@pku.edu.cn
Research interests
Research interests
01 Modular representations of finite reductive groups
02 Categorification in representation theory
03 Relative Langlands duality
04 Representations of affine vertex algebras and topological quantum field theory
Selected work
Selected work
01
Big categorification on towers of classical groups and wreath product groups
With Xin Huang and Yaolong Shen · Preprint
02
Categorical action for finite classical groups and its applications: characteristic 0
With Peng Shan and Jiping Zhang · Advances in Mathematics
03
Broué’s conjecture for isolated RoCK blocks of odd-dimensional orthogonal groups
With Yanjun Liu and Jiping Zhang · Journal of Algebra
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