Tuesday, February 22, 2022
Time | Items |
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All day |
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4:00pm |
02/22/2022 - 4:15pm It is a consequence of a well-known result of Ahlfors and Bers that the $PSL_2\mathbb{C}$ character associated to a convex co-compact hyperbolic 3-manifold is determined by its peripheral data. In this talk we will show how this map extends to a birational isomorphism of the corresponding $PSL_2\mathbb{C}$ character varieties, so in particular it is generically a 1-to-1 map. Analogous results were proven by Dunfield in the single cusp case, and by Klaff and Tillmann for finite volume hyperbolic 3-manifolds. This is joint work with Ian Agol. Location:
LOM 214
02/22/2022 - 4:30pm We prove a conjecture of Ginzburg and Soudry (2020 IMRN) on an integral representation for the tensor product partial L-function for $\mathrm{Sp}(4) \times \mathrm{GL}(2)$ which is derived from the twisted doubling method of Cai, Friedberg, Ginzburg, and Kaplan. We show that the integral unfolds to a non-unique model and analyze it using the New Way method of Piatetski-Shapiro and Rallis. Location: |