MATH Seminar

Title: Mass formulas for mod p Galois representations
Colloquium: N/A
Speaker: Chandrashekhar Khare of UCLA
Contact: Parimala Raman, parimala@mathcs.emory.edu
Date: 2008-09-25 at 4:00PM
Venue: MSC W201
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Abstract: The recent proof of Serre's conjecture allows one to prove the finiteness of certain types of Galois representations (2-dimensional mod $p$, odd, semisimple respresentations of the absolute Galois group of the rationals with bounded prime to $p$ Artin conductor). One may ask for quantitative refinements of this. It seems hard to get a grip on this, although one can formulate a natural expectation. This is in the spirit of the theorem of Hermite-Minskowski which asserts that there are only finitely many extensions of the rationals of bounded discriminant. One can ask for quantitative versions of this: a precise count is again unknown.