We discussĀ 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 |
02/04/2022 - 9:00am We discussĀ topics of common interest in the areas of geometry, probability, and combinatorics. Location: |
2pm |
02/04/2022 - 2:00pm Abstract: We prove stability of integrable ALE manifolds with a parallel spinor under Ricci flow, given an initial metric which is close in $L^p\cap L^{\infty}$, for any $p\in (1,n)$, where n is the dimension of the manifold. In particular, our result applies to all known examples of 4-dimensional gravitational instantons. The result is obtained by a fixed point argument, based on novel estimates for the heat kernel of the Lichnerowicz Laplacian. It allows us to give a precise description of the convergence behaviour of the Ricci flow. Our decay rates are strong enough to prove positive scalar curvature rigidity in $L^p$, for each $p\in [1,\frac{n}{n-2})$, generalizing a result by Appleton. This is joint work with Oliver Lindblad Petersen. Location: |
Links
[1] https://math.yale.edu/calendar/grid/day/2022-02-03?field_calendar_tags_tid_selective=%5Btid%5D
[2] https://math.yale.edu/calendar/grid/day/2022-02-05?field_calendar_tags_tid_selective=%5Btid%5D
[3] https://math.yale.edu/event/friday-morning-seminar
[4] https://math.yale.edu/event/lp-stability-and-positive-scalar-curvature-rigidity-ricci-flat-ale-manifolds
[5] https://math.yale.edu/print/list/calendar/grid/day/2022-02-04
[6] webcal://math.yale.edu/calendar/export.ics