Number theory learning seminar 2012-2013
The seminar will meet
Fridays 3:30 - 5:30 in Room
383-N in the winter and spring quarters. The topic for 2012-2013 is Shimura varieties roughly following Deligne's "Travaux de Shimura" after some preliminary discussion of analytic motivation and examples.
In past years, we covered
p-adic L-functions and CM theory (2011-12), the
Mordell conjecture (2010),
modularity lifting (2009),
and the proof of the Weil conjectures (2008).
Here are some references which may be relevant for this year's seminar:
(1) "Travaux de Shimura" by Deligne
(2) "Introduction to Shimura varieties" by Milne
(3) Handout on Shimura Data from Brian Conrad's course on modular curves
The speaking slots are tentative, not set in stone: please do contact Brian, Samit or Akshay and express your desire to speak. The tentative schedule for the seminar can be found below after the notes for past talks.
Notes -- use at your own risk.
These are
informal notes written by each speaker. They may change
from time to time as we edit them.
Winter quarter
0
Dec 7, Jan 11
Akshay
Introduction to Shimura varieties
1
Jan 18, 25
Dan L.
Variation of Hodge Structures
pdf
2
Feb 1
Akshay
Period domains and period mapping
pdf
3
Feb 8, 15
Brandon
Hermitian symmetric spaces
pdf
4
Feb 22
Martin Luu
Shimura data
5
Mar 1, 15
Brian
Real algebraic groups & Shimura data
pdf
Spring quarter
6
Apr 5, 12
Rebecca
Moduli spaces of Abelian varieties over Q
7
Apr 19
Arnav
Compatibility with analytic moduli space
8
Apr 25
Mike L.
Baily-Borel
pdf
9
May 3
Sam L.
Adelic point of view
pdf
10
May 10
Jeremy & Iurie
Analytic/adelic Galois action on CM-points
pdf
11
May 17
Akshay
Special points and examples
12
May 24
Brian
Deligne's Theorem, I
13
May 31
Brian
Deligne's Theorem, II
For more details on what each lecture will cover with references see
here .