SIMIS String Math Seminar: Canonical blowups of Grassmannians and the Faltings-Lafforgue compactifications

Speaker: Mingyi Zhang (SIMIS)

Time: 2025-08-27 16:00:00
Location: R1710, SIMIS
Zoom Meeting ID: 833 3595 3414 (Passcode:575167)

Abstract:
We give a linear algebraic construction of the Lafforgue spaces associated to the Grassmannians Gr(2,n) by blowing up certain explicitly defined monomial ideals, which sharpens and generalizes a result of Faltings. In this talk, I wil breifly recall some results about Faltings and Lafforgue’s work respectively, and show how we extend their construction to the case for arbitrary diagonal subtorus actions beyond the equidimensional ones.


About Speaker:
Mingyi Zhang is an Assistant Professor at SIMIS. He completed his PhD in 2021 at Northwestern University. Prior to joining SIMIS he held a Postdoctoral position at Peking University. His research focuses on the interplay between singularity theory birational geometry, Hodge theory and D-module theory. Specifically, he is interested in algebraic and analytic methods for studying invariants of singularities and their applications in birational geometry.

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