Shimura Varieties Reading Group: Difference between revisions

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*'''Lecture:''' Tuesdays, 3:45pm–4:45pm, in VV B321
*'''Lecture:''' tbd
*'''Chitchat:''' Thursdays, 3:45pm 'til done, in the 9th floor lounge (except during faculty meetings).
*'''Chitchat:''' tbd


We will be reading through Milne's [http://jmilne.org/math/xnotes/svi.html ''Introduction to Shimura Varieties''] and understanding the necessary prerequisites. Participants will be asked to present on various topics.
We will be reading through Milne's [http://jmilne.org/math/xnotes/svi.html ''Introduction to Shimura Varieties''] and understanding the necessary prerequisites. Participants will be asked to present on various topics.


== Fall 2012 Semester ==
== Fall 2012 Semester ==
*'''Lecture:''' Tuesdays, 3:45pm–4:45pm, in VV B321
*'''Chitchat:''' Thursdays, 3:45pm 'til done, in the 9th floor lounge (except during faculty meetings).


<center>
<center>
Line 20: Line 23:
|-  
|-  
| bgcolor="#E0E0E0"| Oct 16 (Tues.)
| bgcolor="#E0E0E0"| Oct 16 (Tues.)
| bgcolor="#F0B0B0"| Sean Rostami
| bgcolor="#BCE2FE"| Background on Riemannian geometry (cont.)
|-
| bgcolor="#E0E0E0"| Oct 23 (Tues.)
| bgcolor="#F0B0B0"| Lalit Jain
| bgcolor="#F0B0B0"| Lalit Jain
| bgcolor="#BCE2FE"| Background on Hermitian geometry
| bgcolor="#BCE2FE"| Background on Hermitian geometry
|-  
|-  
| bgcolor="#E0E0E0"| Oct 23 (Tues.)
| bgcolor="#E0E0E0"| Oct 30 (Tues.)
| bgcolor="#F0B0B0"| Lalit Jain
| bgcolor="#F0B0B0"| Lalit Jain
| bgcolor="#BCE2FE"| Continuation / Hermitian symmetric domains
| bgcolor="#BCE2FE"| Continuation / Hermitian symmetric domains
|-
| bgcolor="#E0E0E0"| Oct 30 (Tues.)
| bgcolor="#F0B0B0"| Yueke Hu
| bgcolor="#BCE2FE"| Locally symmetric varieties (Milne §3)
|-  
|-  
| bgcolor="#E0E0E0"| Nov 6 (Tues.)
| bgcolor="#E0E0E0"| Nov 6 (Tues.)
| bgcolor="#F0B0B0"| Peng Yu
| bgcolor="#F0B0B0"| Peng Yu  
| bgcolor="#BCE2FE"| Hodge structures (Milne §2)
| bgcolor="#BCE2FE"| Hodge structures (Milne §2)
|-  
|-  
| bgcolor="#E0E0E0"| Nov 13 (Tues.)
| bgcolor="#E0E0E0"| Nov 13 (Tues.)
| bgcolor="#F0B0B0"| Nathan Clement
| bgcolor="#F0B0B0"| Yueke Hu
| bgcolor="#BCE2FE"| tba
| bgcolor="#BCE2FE"| Locally symmetric varieties (Milne §3)
|-
| bgcolor="#E0E0E0"| Dec 11 (Tues.)
| bgcolor="#F0B0B0"| Robert Harron
| bgcolor="#BCE2FE"| What we've done and where we're going
|}
 
</center>
 
<br>
 
== Spring 2013 Semester ==
 
Our first meeting will be Thursday, Feb. 21 when the Number Theory seminar usually meets. Tonghai will talk to us about Shimura varieties arising from orthogonal groups. This will be followed by an organizational meeting to plan the rest of the semester.
 
<center>
 
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"
|-
|-
| bgcolor="#E0E0E0"| Nov 20 (Tues.)
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker'''
| bgcolor="#BCD2EE" width="300" align="center"|'''Topic '''
|-
 
| bgcolor="#E0E0E0"| Feb. 21, 2:30pm in VV B129
| bgcolor="#F0B0B0"| Tonghai Yang
| bgcolor="#BCE2FE"| ''O''(''n'',&nbsp;2) and the space of oriented negative definite planes
|-
| bgcolor="#E0E0E0"| tbd
| bgcolor="#F0B0B0"| tbd
| bgcolor="#BCE2FE"| ''GL''(2) and the upper-half plane
|-
| bgcolor="#E0E0E0"| tbd
| bgcolor="#F0B0B0"| tbd
| bgcolor="#BCE2FE"| ''GSp''(2''g'') and the Siegel upper half space
|-
| bgcolor="#E0E0E0"| tbd
| bgcolor="#F0B0B0"| tbd
| bgcolor="#BCE2FE"| Unitary groups and complex balls
|-
| bgcolor="#E0E0E0"| tbd
| bgcolor="#F0B0B0"| tbd
| bgcolor="#F0B0B0"| tbd
| bgcolor="#BCE2FE"| tba
| bgcolor="#BCE2FE"| Abelian varieties and PEL data
|-
|-  
| bgcolor="#E0E0E0"| Nov 27 (Tues.)
| bgcolor="#E0E0E0"| tbd
| bgcolor="#F0B0B0"| tbd
| bgcolor="#BCE2FE"| Complex multiplication
|-
| bgcolor="#E0E0E0"| tbd
| bgcolor="#F0B0B0"| tbd
| bgcolor="#F0B0B0"| tbd
| bgcolor="#BCE2FE"| tba
| bgcolor="#BCE2FE"| Definition of canonical models
|-  
|-  
| bgcolor="#E0E0E0"| Dec 4 (Tues.)
| bgcolor="#E0E0E0"| tbd
| bgcolor="#F0B0B0"| tbd
| bgcolor="#F0B0B0"| tbd
| bgcolor="#BCE2FE"| tba
| bgcolor="#BCE2FE"| Examples of canonical models
<!--
|-
| bgcolor="#E0E0E0"| Oct 16 (Tues.)
| bgcolor="#F0B0B0"| Sean Rostami
| bgcolor="#BCE2FE"| Background on Riemannian geometry (cont.)
|-
| bgcolor="#E0E0E0"| Oct 23 (Tues.)
| bgcolor="#F0B0B0"| Lalit Jain
| bgcolor="#BCE2FE"| Background on Hermitian geometry
|-
| bgcolor="#E0E0E0"| Oct 30 (Tues.)
| bgcolor="#F0B0B0"| Lalit Jain
| bgcolor="#BCE2FE"| Continuation / Hermitian symmetric domains
|-
| bgcolor="#E0E0E0"| Nov 6 (Tues.)
| bgcolor="#F0B0B0"| Peng Yu
| bgcolor="#BCE2FE"| Hodge structures (Milne §2)
|-
| bgcolor="#E0E0E0"| Nov 13 (Tues.)
| bgcolor="#F0B0B0"| Yueke Hu
| bgcolor="#BCE2FE"| Locally symmetric varieties (Milne §3)
|-  
|-  
| bgcolor="#E0E0E0"| Dec 11 (Tues.)
| bgcolor="#E0E0E0"| Dec 11 (Tues.)
| bgcolor="#F0B0B0"| tbd
| bgcolor="#F0B0B0"| Robert Harron
| bgcolor="#BCE2FE"| tba
| bgcolor="#BCE2FE"| What we've done and where we're going
-->
|}
|}


Latest revision as of 16:17, 5 June 2013

  • Lecture: tbd
  • Chitchat: tbd

We will be reading through Milne's Introduction to Shimura Varieties and understanding the necessary prerequisites. Participants will be asked to present on various topics.

Fall 2012 Semester

  • Lecture: Tuesdays, 3:45pm–4:45pm, in VV B321
  • Chitchat: Thursdays, 3:45pm 'til done, in the 9th floor lounge (except during faculty meetings).
Date Speaker Topic
Oct 9 (Tues.) Sean Rostami Background on Riemannian geometry
Oct 16 (Tues.) Sean Rostami Background on Riemannian geometry (cont.)
Oct 23 (Tues.) Lalit Jain Background on Hermitian geometry
Oct 30 (Tues.) Lalit Jain Continuation / Hermitian symmetric domains
Nov 6 (Tues.) Peng Yu Hodge structures (Milne §2)
Nov 13 (Tues.) Yueke Hu Locally symmetric varieties (Milne §3)
Dec 11 (Tues.) Robert Harron What we've done and where we're going


Spring 2013 Semester

Our first meeting will be Thursday, Feb. 21 when the Number Theory seminar usually meets. Tonghai will talk to us about Shimura varieties arising from orthogonal groups. This will be followed by an organizational meeting to plan the rest of the semester.

Date Speaker Topic
Feb. 21, 2:30pm in VV B129 Tonghai Yang O(n, 2) and the space of oriented negative definite planes
tbd tbd GL(2) and the upper-half plane
tbd tbd GSp(2g) and the Siegel upper half space
tbd tbd Unitary groups and complex balls
tbd tbd Abelian varieties and PEL data
tbd tbd Complex multiplication
tbd tbd Definition of canonical models
tbd tbd Examples of canonical models


Organizers

Robert Harron

Sean Rostami

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