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 > Minimal weights of mod p Galois representations

## Minimal weights of mod p Galois representationsAdd to your list(s) Download to your calendar using vCal - Hanneke Wiersema (King's College London)
- Tuesday 10 November 2020, 14:30-15:30
- Online.
If you have a question about this talk, please contact Rong Zhou. The strong form of Serre’s conjecture states that every two-dimensional continuous, odd, irreducible mod p representation of the absolute Galois group of Q arises from a modular form of a specific minimal weight, level and character. In this talk we use modular representation theory to prove the minimal weight is equal to a notion of minimal weight inspired by work of Buzzard, Diamond and Jarvis. Moreover, using the Breuil-Mézard conjecture we give a third interpretation of this minimal weight as the smallest k>1 such that the representation has a crystalline lift of Hodge-Tate type (0, k-1). Finally, we will report on work in progress where we study similar questions in the more general setting of mod p Galois representations over a totally real field. 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
- Hanchen DaDaDash
- Interested Talks
- Number Theory Seminar
- Online
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsConservation seminars Clinical Ethics Forum Centre for Risk Studies - talks & events## Other talksUnique Climate Change Impacts on Water Resources of American Indians and Alaska Natives in the U.S. 'Use of genetic and serological data in dynamical models of infectious disease' The Cancer Paradox: Investigations into the somatic mutation rate across mammals Making NanoMachines move Cognitive control networks involved in different kinds of listening |