Shimura Varieties Reading Group: Difference between revisions
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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 == | ||
*'''Lecture:''' Tuesdays, 3:45pm–4:45pm, in VV B321 | |||
*'''Chitchat:''' Thursdays, 3:45pm 'til done, in the 9th floor lounge (except during faculty meetings). | |||
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| bgcolor="#E0E0E0"| | | bgcolor="#E0E0E0"| Oct 9 (Tues.) | ||
| bgcolor="#F0B0B0"| Sean Rostami | |||
| bgcolor="#BCE2FE"| Background on Riemannian geometry | |||
| bgcolor="#F0B0B0"| | |||
| bgcolor="#BCE2FE"| | |||
|- | |- | ||
| bgcolor="#E0E0E0"| Oct 16 (Tues.) | | bgcolor="#E0E0E0"| Oct 16 (Tues.) | ||
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| bgcolor="#F0B0B0"| Robert Harron | | bgcolor="#F0B0B0"| Robert Harron | ||
| bgcolor="#BCE2FE"| What we've done and where we're going | | bgcolor="#BCE2FE"| What we've done and where we're going | ||
|} | |} | ||
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== | == 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. | |||
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| bgcolor="#E0E0E0"| | | bgcolor="#E0E0E0"| Feb. 21, 2:30pm in VV B129 | ||
| bgcolor="#F0B0B0"| | | bgcolor="#F0B0B0"| Tonghai Yang | ||
| bgcolor="#BCE2FE"| | | bgcolor="#BCE2FE"| ''O''(''n'', 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="#BCE2FE"| Abelian varieties and PEL data | |||
|- | |||
| bgcolor="#E0E0E0"| tbd | |||
| bgcolor="#F0B0B0"| tbd | |||
| bgcolor="#BCE2FE"| Complex multiplication | |||
|- | |||
| bgcolor="#E0E0E0"| tbd | |||
| bgcolor="#F0B0B0"| tbd | |||
| bgcolor="#BCE2FE"| Definition of canonical models | |||
|- | |||
| bgcolor="#E0E0E0"| tbd | |||
| bgcolor="#F0B0B0"| tbd | |||
| bgcolor="#BCE2FE"| Examples of canonical models | |||
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| bgcolor="#E0E0E0"| Oct 16 (Tues.) | | bgcolor="#E0E0E0"| Oct 16 (Tues.) | ||
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| bgcolor="#F0B0B0"| Robert Harron | | bgcolor="#F0B0B0"| Robert Harron | ||
| bgcolor="#BCE2FE"| What we've done and where we're going | | bgcolor="#BCE2FE"| What we've done and where we're going | ||
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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
Sean Rostami
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