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An n-dimensional complex variety is p-smooth if
local cohomology with characteristic p coefficients cannot
distinguish it from Cn. I will begin by discussing this
notion on some examples and then describe joint work with
Peter Fiebig determining the p-smooth locus of Schubert
varieties for many primes p. If time permits, I will also
try to sketch why such questions are important in modular
representation theory (this is work due to Soergel,
Mirkovic-Vilonen, Fiebig and Juteau).
After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. Anthony Henderson anthonyh@maths.usyd.edu.au. |
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