Calendar
Printer-friendly versionThursday, February 13, 2025
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| 4:00pm |
02/13/2025 - 4:00pm The existence of multi black hole solutions in General Relativity is one of the expectations from the final state conjecture, the analogue of soliton resolution. In this talk, I will present preliminary works in this direction via a semilinear toy model in dimension 3. In particular, I show 1) an algorithm to construct approximate solutions to the energy critical wave equation that converge to a sum of solitons at an arbitrary polynomial rate in (t-r); 2) a robust method to solve the remaining error terms for the nonlinear equation. The methods apply to energy supercritical problems. Location:
KT 207
02/13/2025 - 4:30pm Multiple polylogarithms appear to be central for many seemingly unrelated areas of mathematics: volumes of hyperbolic polytopes, scissors congruence, algebraic K-theory, special values of zeta functions, etc. Despite the existence of this wide network of connections, the most fundamental properties of these functions, predicted by the Goncharov program, remain conjectural. I will talk about the recent progress in the Goncharov program, which is based on the connection between multiple polylogarithms and the Steinberg module of Q. The talk is based on the joint work with Steven Charlton and Danylo Radchenko. Location:
KT 801
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