COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Number Theory Seminar > Counting Galois representations with Steinberg monodromy

## Counting Galois representations with Steinberg monodromyAdd to your list(s) Download to your calendar using vCal - Yuval Flicker (Ohio)
- Tuesday 24 March 2009, 14:30-15:30
- MR13.
If you have a question about this talk, please contact Tom Fisher. Let S be a finite set of closed points of X of cardinality N > 1 . Put X . Let ^{S} = X – Spi be the arithmetic fundamental group of the affine curve _{1}(X^{S})X . It is ^{S}Gal(F , where ^{S}/F)F is the function field of X over and F_{q}F is the maximal extension of ^{S}F unramified at each closed point of X inside a fixed separable closure \ov{F} of ^{S}F. We compute, in terms of the zeta function of X, the number of equivalence classes of irreducible n-dimensional ell-adic representations of pi, whose local monodromy at each point of _{1}(X^{S})S is a single Jordan block of rank n, assuming N is even if n = 2, that n is a prime and (n,q) = 1. This number is reduced to that of the nowhere ramified cuspidal automorphic representations of the multiplicative group of a division algebra of degree n over F, which we compute using the trace formula.This talk is part of the Number Theory Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- MR13
- Number Theory Seminar
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsJoint Machine Learning Seminars Martin Centre Research Seminar Series - 40th Annual Series of Lunchtime Lectures Public talk: Duncan Watts## Other talksAncient DNA studies of early modern humans and late Neanderthals Bioinformatics Domain Uncertainty Quantification Circular Economy in Practice – Challenges and Opportunities Renationalisation of the Railways. A CU Railway Club Public Debate. On the origin of human sociality: Ape minds and the evolution of Homo sapiens |