![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Alice Pozzi, Imperial College London
Tuesday 15 March 2022, 14:30-15:30
Rigid meromorphic cocycles and p-adic variations of modular forms
- 👤 Speaker: Alice Pozzi, Imperial College London
- 📅 Date & Time: Tuesday 15 March 2022, 14:30 - 15:30
- 📍 Venue: MR13
Abstract
A rigid meromorphic cocycle is a class in the first cohomology of the group SL2 acting on the non-zero rigid meromorphic functions on the Drinfeld p-adic upper half plane by M¨obius transformation. Rigid meromorphic cocycles can be evaluated at points of “real multiplication”, and their values conjecturally lie in composita of abelian extensions of real quadratic fields, suggesting striking analogies with the classical theory of complex multiplication. In this talk, we discuss the proof of this conjecture for a special class of rigid meromorphic cocycles. Our proof connects the values of rigid meromorphic cocycles to the study of certain p-adic variations of Hilbert modular forms. This is joint work with Henri Darmon and Jan Vonk.
Series This talk is part of the Number Theory Seminar series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CMS Events
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Hanchen DaDaDash
- Interested Talks
- MR13
- Number Theory Seminar
- School of Physical Sciences
Note: Ex-directory lists are not shown.