Calendar
Wednesday, February 28, 2024
Time | Items |
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All day |
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3pm |
02/28/2024 - 3:00pm The insides of cells are geometrically complex, heterogeneous, and dynamic. Flows inside of cells can reflect the motion of internal structures, and so can be signatures of how forces transduce to motion, or can be an intrinsic part of a self-organizing process involving other moving parts like biopolymers and molecular motors. I’ll show examples of each, discuss the mathematical models that we’ve developed to describe them, and outline the numerical methods we use to simulate them. Location:
LOM 214
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4pm |
02/28/2024 - 4:00pm Let G be an infinite discrete group. Finite dimensional unitary representations of G in fixed dimension are usually quite hard to understand. However, there are interesting notions of convergence of such representations as the dimension tends to infinity. One notion — strong convergence — is of interest both from the point of view of G alone but also through recently realized applications to spectral gaps of locally symmetric spaces. For example, this notion bypasses (unconditionally) the use of Selberg’s Eigenvalue Conjecture in obtaining existence of large area hyperbolic surfaces with near-optimal spectral gaps.
Location:
KT 219
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