Algebraic Geometry Seminar

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Arithmetic dynamics and monodromy representations

Speaker: Daniel Litt

Location: Warren Weaver Hall 317

Date: Tuesday, March 12, 2019, 3:30 p.m.

Synopsis:

Which representations of the fundamental group of a complex quasiprojective variety X arise from geometry, i.e. appear inside of the monodromy representation on the cohomology of a family of varieties over X?  I'll discuss new results on this topic arising from arithmetic dynamics, p-adic transcendence theory, and the geometric Langlands program. The talk will not assume familiarity with any of these topics.