Seminars & Events for Special Events and Conferences
Lecture Series on “Arithmetic in Geometry" - #2
Quotients of symmetric spaces of semi-simple Lie groups by torsion-free arithmetic subgroups are particularly nice Riemannian manifolds which can be studied by using diverse techniques coming from the theories of Lie Groups, Lie Algebras, Algebraic Groups and Automorphic Forms. One such manifold is a "fake projective plane" which is, by definition, a smooth projective complex algebraic surface with same Betti-numbers as the complex projective plane but which is not isomorphic to the latter. The first example of a fake projective plane (fpp) was constructed by David Mumford in 1978, and it has been known that there are only finitely many of them. In the theory of algebraic surfaces, it was an important problem to construct them and determine their geometric properties.
Lecture Series on "Arithmetic in Geometry" - #3
In the next two talks, I will discuss another well-known problem which was very nicely formulated by Mark Kac as "Can one hear the shape of a drum?", and its solution, for arithmetic quotients of symmetric spaces, obtained in a joint work (in Publ Math IHES) with Andrei Rapinchuk. For the solution, we introduced a notion of "weak commensurability" of arithmetic, and more general Zariski-dense, subgroups and derive very strong consequences of weak commensurability.
Lecture Series on “Arithmetic in Geometry” - #4
In the next two talks, I will discuss another well-known problem which was very nicely formulated by Mark Kac as "Can one hear the shape of a drum?", and its solution, for arithmetic quotients of symmetric spaces, obtained in a joint work (in Publ Math IHES) with Andrei Rapinchuk. For the solution, we introduced a notion of "weak commensurability" of arithmetic, and more general Zariski-dense, subgroups and derive very strong consequences of weak commensurability.
Tokyo-Princeton algebraic geometry conference
Tokyo-Princeton algebraic geometry conference
Tokyo-Princeton algebraic geometry conference
Tokyo-Princeton algebraic geometry conference
Women and Math - Princeton Day
10:30—11:30 AM: |
Speaker: Zoltán Szabó, Professor of Mathematics, Princeton University Title: “Floer homology invariants for knots.” |
11:45—1 PM: | Lunch |
1:15—2:15 PM: | Speaker: Sophie Spirkl, Graduate Student, Program in Applied & Computational Mathematics, Princeton University
Title: “Coloring Perfect Graphs” |