Calendar
- 29November 29, 2023
Number Theory Seminar
1 Oxford Street, Cambridge, MA 02138 USAFor more info, see https://ashvin-swaminathan.github.io/home/NTSeminar.html
Informal Seminar on Dynamics, Geometry and Moduli Spaces: Monodromy over Riemann surfaces
Please see website for more details: www.math.harvard.edu/~ctm/sem.
Richard P. Stanley Seminar in Combinatorics: Nodal Count distribution for graph and signed graphs via Morse theory of eingenvalues
Discrete Morse theory, developed by Forman, is an efficient tool to determine the homotopy type of a regular CW complex. The theory has been reformulated by Chari in purely combinatorial terms of acyclic matchings on the face poset. In this talk, I will discuss explicit constructions of such acyclic matchings on Bruhat intervals using reflection orders. As an application, we show the totally nonnegative Springer fibres are contractible, verifying a conjecture of Lusztig. This is based on work in progress with Xuhua He.
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For more info, see https://math.mit.edu/combin/