IPM Calendar 
Tuesday 11 December 2018   Today  
Events for day: Wednesday 10 January 2018    
           10:00 - 12:00     Short Course
Model Theory, p-adic Integration, and Applications to Algebra and Number Theory

School
MATHEMATICS

This course is concerned with model-theoretic results for local fields and finite fields, and p-adic and motivic integration. The main results concern analytic properties of Euler products and applications to various zeta functions and Dirichlet series in algebra and number theory. ...

           15:30 - 17:00     Geometry and Topology Weekly Seminar
Arithmetic Structures in the Spectral Action of Bianchi IX Gravity Models

School
MATHEMATICS

In this talk, I will give a review of my recent joint works with Wentao Fan and Matilde Marcolli on a rationality phenomena and appearance of periods and motives in the heat kernel expansion of the Dirac-Laplacian of Bianchi IX gravity models with SU(2) symmetries. In the case of Bianchi IX gravitational instantons, which, in a succession of works by physicists and mathematicians, are characterized in terms of theta functions with characteristics, the terms in the expansion give rise to modular forms of weight 2, which we write explicitly in terms of Eisenstein series and the modular discriminant. ...