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 |
04/15/2022 - 9:00am We discussĀ topics of common interest in the areas of geometry, probability, and combinatorics. Location: |
12pm |
04/15/2022 - 12:00pm Given points and their measured distances, the tree fitting problem is to produce a tree graph which spans the points and "fits" the given distances. While such a seemingly simple problem was first introduced in the 1960s, the problem turns out to be hard so that there is still a lot of room for improvement. In this talk, we will explore the problem in various settings and introduce some results. Location: |
2pm |
04/15/2022 - 2:00pm Abstract: A famous theorem of Tachibana says that compact Einstein manifolds with positive curvature operators have constant curvature. In this talk we will discuss several generalizations of this theorem. For example, we show that it suffices to assume that the curvature operator is $\lfloor \frac{n-1}{2} \rfloor$-positive, where $n$ is the dimension of the manifold. Time permitting, we discuss analogues of Tachibana’s theorem for K"ahler manifolds and quaternion K"ahler manifolds. This talk is based on joint work with Peter Petersen. Location: |
5pm |
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Links
[1] https://math.yale.edu/calendar/grid/day/2022-04-14?field_calendar_tags_tid_selective=%5Btid%5D
[2] https://math.yale.edu/calendar/grid/day/2022-04-16?field_calendar_tags_tid_selective=%5Btid%5D
[3] https://math.yale.edu/event/friday-morning-seminar-5
[4] https://math.yale.edu/event/tree-fitting-problem
[5] https://math.yale.edu/event/generalizations-tachibanas-theorem
[6] https://math.yale.edu/event/euclidean-traveller-hyperbolic-worlds
[7] https://math.yale.edu/print/list/calendar/grid/day/2022-04-15
[8] webcal://math.yale.edu/calendar/export.ics