Number Theory Seminar: Modularity of special cycles in orthogonal and unitary Shimura varieties

SEMINARS, NUMBER THEORY

Speaker:

Salim Tayou - Harvard University

Since the work of Jacobi and Siegel, it is well known that Theta series of quadratic lattices produce modular forms. In a vast generalization, Kudla and Millson have proved that the generating series of special cycles in orthogonal and unitary Shimura varieties are modular forms. In this talk, I will explain an extension of these results to toroidal compactifications where we prove that the generating series of divisors is a mixed mock modular form. This recovers and refines earlier results of Bruinier and Zemel. The results of this talk are joint work with Philip Engel and François Greer.

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For more info, see https://ashvin-swaminathan.github.io/home/NTSeminar.html