.
DEPARTMENT
of
MATHEMATICS
`-adic Perverse Sheaves...or Not
Professor Fedor Andreev
Western Illinois University
Abstract: So-called étale cohomology theories (in complex
or `-adic flavors) are used in complex differential equations,
D-modules, representations of Lie algebras, and number
theory.
To introduce them we first replace a "normal" topology
with a Grothendieck topology. Then we discuss the difficulties in working with `-adic numbers as coefficients for
cohomology. Thirdly, we narrow down the complexes by
introducing a perversity (especially, the middle perversity).
If time permits, the speaker will connect his interest in the
subject with his background in mathematical physics and
differential equations.
Thursday,
October 29, 2015
3:45 p.m.
Morgan Hall 204
Refreshments
will be served at 3:30
p.m.