Representation theory seminars: Infinite dimensional algebra and instanton moduli spaces

Speaker: Weiping Li (HKUST)

Time: Jun 16 16:00

Location: R1210, SIMIS
Zoom Meeting: 838 293 7191 (Passcode: SIMIS)

Given a projective smooth surface X and its blowup surface Y, Yoshioka calculated the blowup formula relating Betti numbers of the moduli space of rank two sheaves on X with those on Y. Nakajima asked the question of a representation-theoretic interpretation of the blowup formula. In the joint work with Qingyuan Jiang and Yu Zhao, we studied the representation of an extended Clifford algebra on the cohomology of the moduli space of stable sheaves on Y and answered Nakajima’s question.


Biography: Prof. Li received a Bachelor’s Degree at Nankai 1980-1984, a Master’s Degree at Columbia University 1985-1986, and a Doctor’s Degree at Columbia University 1986-1991, respectively. He had postdoctoral appointment at Oklahoma State University 1991-1992. Prof. Li joined the Department of Mathematics of HKUST as a lecturer on 12 July, 1992. He is now a Chair Professor of the department. Research Interests: Algebraic geometry Awards & Honors: Professor Weiping LI was awarded State Natural Science Award (2nd Class) (2024) 2021 Higher Education Outstanding Scientific Research Output Award (2021) Best Paper Awards in the first annual meeting of International Consortium of Chinese Mathematician (ICCM2017) (2017)

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