Department of Mathematics Faculty Meeting (Senior Lecturers and tenure-track faculty) Read more about Department of Mathematics Faculty Meeting (Senior Lecturers and tenure-track faculty)
Number Theory Seminar: Daniel Litt Title: Arithmetic Dynamics, the geometric Frey-Mazur conjecture, and monodromy representations Abstract: 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. Read more about Number Theory Seminar: Daniel Litt
Algebraic Geometry Seminar: Andrey Soldatenkov (Berlin) Read more about Algebraic Geometry Seminar: Andrey Soldatenkov (Berlin)
Topology Seminar: Justin Lanier (Ga Tech) "Polynomial or not? Twisting rabbits and lifting trees" Abstract: A polynomial can be viewed as a branched cover of the sphere over itself that is compatible with a complex structure. If handed a topological branched cover of the sphere, we can ask whether it can arise from a polynomial—and if so, which one? In 2006, Bartholdi and Nekrashevych used group theoretic methods to explicitly solve this problem in special cases, including Hubbard’s twisted rabbit problem. We introduce a new topological approach that draws from the theory of mapping class groups of surfaces. Read more about Topology Seminar: Justin Lanier (Ga Tech) "Polynomial or not? Twisting rabbits and lifting trees"
Number Theory Seminar: Pete L. Clark (UGA) Title of talk: Acyclotomy of torsion on elliptic curves Read more about Number Theory Seminar: Pete L. Clark (UGA)
Algebraic Geometry: R. Deev (NYU) “Lefschetz–Kovalev pencils on G_2-manifolds” Read more about Algebraic Geometry: R. Deev (NYU) “Lefschetz–Kovalev pencils on G_2-manifolds”