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Upcoming Seminars

MondayAug 10, 202016:00
Seminar in Geometry and Topology
Speaker:Jorge Vitorio PereiraTitle:Codimension one foliations on projective manifoldsAbstract:opens in new windowin html    pdfopens in new windowZOOM:

Review of old and new results on the global structure of singular holomorphic codimension one foliations on projective manifolds and their moduli spaces.



WednesdayAug 12, 202016:30
Algebraic Geometry and Representation Theory Seminar
Speaker:Baiying Liu Title:On automorphic descent from GL(7) to G2Abstract:opens in new windowin html    pdfopens in new windowZOOM: HTTPS://WEIZMANN.ZOOM.US/J/98304397425

In this talk, I will introduce the functorial descent from cuspidal automorphic representations \pi of GL7(A) with L^S(s, \pi, \wedge^3) having a pole at s=1 to the split exceptional group G2(A), using Fourier coefficients associated to two nilpotent orbits of E7. We show that one descent module is generic, and under mild assumptions on the unramified components of \pi, it is cuspidal and having \pi as a weak functorial lift of each irreducible summand. However, we show that the other descent module supports not only the non-degenerate Whittaker integral on G2(A), but also every degenerate Whittaker integral. Thus it is generic, but not cuspidal. This is a new phenomenon, compared to the theory of functorial descent for classical and GSpin groups. This work is joint with Joseph Hundley.