| Talk_id | Date | Speaker | Title |
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5140
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Tuesday 9/26
3:00 PM
|
John Bergdall, MSU
|
Introduction to the arithmetic of modular forms.
- Introduction to the arithmetic of modular forms.
- 09/26/2017
- 3:00 PM - 3:50 PM
- C304 Wells Hall
- John Bergdall, MSU
This is part of a 3 lecture series. The ultimate purpose of this lecture series is to explain a recent conjecture made jointly with Robert Pollack. The conjecture itself is about coarse p-adic invariants of modular forms called slopes, which are nothing other than the norms of the eigenvalues of a certain operator. By way of motivation, I will start by first discussing modular forms with a bias towards the arithmetic context of the Langlands program. The second talk will be reserved for exposing what one might call p-adic methods for modular forms. These have been around since the 70’s and 80’s and they are central to research on “p-adic Langlands” over the past 15 years. Finally, I will aim to state precisely the conjecture (called the ghost conjecture) Pollack and I have made and explain its numerical and theoretical evidence.
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|
5158
|
Tuesday 10/10
3:00 PM
|
John Bergdall, MSU
|
Introduction to the arithmetic of modular forms. Part II.
- Introduction to the arithmetic of modular forms. Part II.
- 10/10/2017
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- John Bergdall, MSU
This is part of a 3 lecture series. The ultimate purpose of this lecture series is to explain a recent conjecture made jointly with Robert Pollack. The conjecture itself is about coarse p-adic invariants of modular forms called slopes, which are nothing other than the norms of the eigenvalues of a certain operator. By way of motivation, I will start by first discussing modular forms with a bias towards the arithmetic context of the Langlands program. The second talk will be reserved for exposing what one might call p-adic methods for modular forms. These have been around since the 70’s and 80’s and they are central to research on “p-adic Langlands” over the past 15 years. Finally, I will aim to state precisely the conjecture (called the ghost conjecture) Pollack and I have made and explain its numerical and theoretical evidence.
|
|
6166
|
Tuesday 10/24
3:00 PM
|
John Bergdall, MSU
|
Slopes of modular forms and the ghost conjecture.
- Slopes of modular forms and the ghost conjecture.
- 10/24/2017
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- John Bergdall, MSU
Abstract: In the previous two talks I discussed modular forms and their generalization p-adic modular forms. The space of p-adic modular forms is a p-adic Banach space equipped with an important operator U (the p-th Hecke operator). In this talk I will explain a conjecture recently formulated by Pollack and myself on the p-adic norms of eigenvalues of the U-operator acting on p-adic modular forms. Surprisingly, our description of these norms is completely elementary. If time permits I will discuss some of the evidence we have for our conjecture and its natural generalizations.
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5160
|
Wednesday 11/15
3:00 PM
|
Vladimir, University of Alberta, Chernousov
|
TBA
- TBA
- 11/15/2017
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Vladimir, University of Alberta, Chernousov
No abstract available.
|
