The Tamagawa number conjecture on motives and (phi, Gamma)-modules

01/21/2014 - 12:15pm
01/21/2014 - 1:10pm
Speaker: 
Jay Daigle (California Institute of Technology)
Abstract: 

This talk will provide a gentle introduction for non-experts to some recent developments in arithmetic geometry. The Tamagawa number conjecture on motives is a wonderful generalization of the classical analytic class number formula and the Birch and Swinnerton-Dyer conjecture. I will discuss the background of these two formulae and their relation to the Tamagawa Number conjecture. I will then give a brief overview of the theory of (phi, Gamma) modules and report on recent work with Matthias Flach using this theory to strengthen evidence for the conjecture.

Where: 
Mudd Science Library 126, Pomona College
Misc. Information: 

There will be a short organizational meeting preceding the talk at 12:00 noon.