We discuss topics of common interest in the areas of geometry, probability, and combinatorics.
Time | Items |
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All day |
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9am |
03/11/2022 - 9:00am We discuss topics of common interest in the areas of geometry, probability, and combinatorics. Location: |
12pm |
03/11/2022 - 12:00pm In her thesis, Maryam Mirzakhani proved that for any closed hyperbolic surface, the number of simple closed geodesics of length at most L grows like a polynomial in L. Thisbreakthrough theorem and the subsequent explosion of related results use techniques and draw inspiration from Teichmüller theory, symplectic geometry, surface topology, and homogeneous dynamics. Starting from first concepts, in this talk I’ll survey some of these connections as well as discuss answers to the following qualitative questions: What do hyperbolic surfaces with long curves look like? And what do long curves look like on a hyperbolic surface? Location: 03/11/2022 - 12:30pm This is a classical result of Sullivan that for a convex cocompact hyperbolic manifold M the critical exponent of π1(M) is the same as the Hausdorff dimension of its limit set. We study analogous phenomena in a higher-rank setting. This is my first work at Yale, joint with Prof. Yair N. Minsky and Prof. Hee Oh. Location: |
2pm |
03/11/2022 - 2:00pm Abstract: We show that any initially smooth mean curvature flow (MCF) coming out of a rotationally symmetric double cone, which is singular at the origin, must stay rotationally symmetric for all time. Examples of such flows include (smooth) self-expanders, which are potential models of continuations of MCFs through conical singularities. I will also discuss non-self-similar, possibly singular, MCFs coming out of a cone that fit into our theorem Location: |
Links
[1] https://math.yale.edu/calendar/grid/day/2022-03-10?field_calendar_tags_tid_selective=%5Btid%5D
[2] https://math.yale.edu/calendar/grid/day/2022-03-12?field_calendar_tags_tid_selective=%5Btid%5D
[3] https://math.yale.edu/event/friday-morning-seminar-4
[4] https://math.yale.edu/event/long-curves-hyperbolic-surfaces-and-geometry-moduli-space
[5] https://math.yale.edu/event/dynamics-self-joinings-hyperbolic-manifolds
[6] https://math.yale.edu/event/rotational-symmetry-mean-curvature-flows-coming-out-double-cone
[7] https://math.yale.edu/print/list/calendar/grid/day/2022-03-11
[8] webcal://math.yale.edu/calendar/export.ics