Difference between revisions of "NTSGrad Spring 2021/Abstracts"

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== Feb 2 ==
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Qiao He'''
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| bgcolor="#BCD2EE"  align="center" | ''Supersingular locus of Unitary Shimura variety''
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| bgcolor="#BCD2EE"  |I will give a summary of supersingular locus of Unitary Shimura variety. This description is really the first and an important step to understand the structure of Unitary Shimura variety. Turns out that the description of such locus will boil down to certain linear algebra. The final result will be the supersingular locus have a stratification, and the incidence relation will be closely related with the Bruhat-Tits building of unitary group. Also, each strata is closely related with affine Deligne Lustig variety. The Dieudonne module theory will be summarized. Take it for granted, all the remaining material can follow easily!
 
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Revision as of 19:27, 30 January 2021

This page contains the titles and abstracts for talks scheduled in the Spring 2021 semester. To go back to the main GNTS page, click here.


Jan 26

Eiki Norizuki
$p$-adic groups and their representations
This will be a prep talk for Thursday's NTS talk.

We will talk about subgroups and decompositions of $p$-adic groups as well as the Bruhat-Tits tree of $\text{SL}_2$. We try to understand the right class of representations for $p$-adic groups which turn out to be smooth admissible representations.



Feb 2

Qiao He
Supersingular locus of Unitary Shimura variety
I will give a summary of supersingular locus of Unitary Shimura variety. This description is really the first and an important step to understand the structure of Unitary Shimura variety. Turns out that the description of such locus will boil down to certain linear algebra. The final result will be the supersingular locus have a stratification, and the incidence relation will be closely related with the Bruhat-Tits building of unitary group. Also, each strata is closely related with affine Deligne Lustig variety. The Dieudonne module theory will be summarized. Take it for granted, all the remaining material can follow easily!