Thursday, April 28, 2022
Time | Items |
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All day |
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4:00pm |
04/28/2022 - 4:00pm Abstract: The Gan-Gross-Prasad conjecture relates a special value of an L-function of two cuspidal automorphic representations to the non-vanishing of a certain period. The Ichino-Ikeda conjecture is a refinement of this conjecture. It roughly states that the absolute value of the square of the period in question can be expressed as a product of the special value of the L-function and a product of normalized local periods. However, in order to formulate this conjecture, one needs to assume that the representations in question are tempered everywhere, or else the convergence of the local periods is not guaranteed. In this talk, I will talk about my thesis result which allows one to relax the assumption that the representations are tempered everywhere, and explains how to extend the definition of the normalized local periods for places where the local components are given by principal series representations. Location:
LOM 214
04/28/2022 - 4:15pm Abstract: In many systems, such as the invasion of a new species or turbulent combustion, a balance of growth (reaction) and spreading (diffusion) creates a moving interface called a front. The basic reaction-diffusion equations modeling these systems date back almost a century and their investigation is centered around the construction of traveling wave solutions and an analysis of their stability. The stability proofs are often inflexible (ad hoc to the particular model) and either non-quantitative or extremely intricate. In this talk, I will introduce a new ingredient, the shape defect function, that yields a simple, general framework to obtain and quantify stability of the traveling waves for a huge range of models, including both new and classical models. Location: |