Speaker：
Weiping Li (HKUST)
Time:
May 20th, 10:30-11:30am
Location:
HIMIS 7A1
Title:
Instanton moduli spaces on the blowup surfaces and affine vertex algebras
Abstract:
Vafa–Witten observed that Yoshioka’s blow-up formula for the Euler characteristics of rank 2 instantons on an algebraic surface coincides with the character of the Wess–Zumino–Witten model for SU(2) at level 1, and raised the question of finding a rational conformal field theory explanation for this striking coincidence. In the joint work with ZHAO Yu and JIANG Qingyuan, we provide an answer to this question by constructing and analyzing the affine glr action on various cohomology theories, including the Grothendieck group of coherent sheaves, Hochschild homology, Chow groups, and Hodge cohomology, of the moduli space of stable sheaves on a blown-up surface.
Bio:
Prof. Weiping Li is a Chair Professor in the Department of Mathematics at The Hong Kong University of Science and Technology (HKUST). He received his Ph.D. from Columbia University in 1991 and joined HKUST in 1992. Prof. Li’s research focuses on enumerative geometry, including the study of Gromov-Witten invariants and Donaldson-Thomas invariants. His work has been recognized with some of the most prestigious honors, including a State Natural Science Award (2nd Class) (国家自然科学奖二等奖) (2023) and Higher Education Outstanding Scientific Research Output Award (教育部科学研究优秀成果奖) (2021).