Seminars Sorted by Series

Short Talks by Postdoctoral Members

Short Talks by Postdoctoral Visitors

Simons Center for Systems Biology

SL2 Seminar

Oct
20
2020

SL2 Seminar

Representations of GL_2(F_q) in defining characteristic: a number-theorist's perspective
Matthew Emerton
5:00pm|Remote Access

In this talk I hope to explain how the representation theory of $GL_n(F_q)$ (with q being a power of p) in char. p, and also in mixed characteristic $(0,p)$, plays an important role in the theory of Galois representations and the Langlands program...

Nov
03
2020

SL2 Seminar

Decomposition numbers in defining characteristic
Andrea Dotto
4:00pm|Remote Access

The decomposition of the reduction of a Deligne--Lusztig character as a sum of Weyl modules is given by Jantzen's formula. In the case of $SL_2(F_q)$ the formula can be proved by a direct computation, and as a result we will see that the entries in...

Nov
10
2020

SL2 Seminar

Blocks and Defect Groups of SLn
Nate Harman
3:00pm|Remote Access

The modular representation theory of a finite group naturally breaks into different pieces called blocks, and the defect of a block is a sort of measure of its complexity. I will recall some basic aspects of this theory, and then give the complete...

Nov
17
2020

SL2 Seminar

No seminar: workshop
3:00pm|Remote Access
Dec
01
2020

SL2 Seminar

The ABG Equivalence
Pablo Boixeda Alvarez
3:00pm|Remote Access

Broue's Conjecture for $SL_2(\mathbb{F}_q)$ in defining characteristic, predicts a derived equivalence between the principal block of this group and the principal block of a Borel. A structurally similar equivalence exist in the case of the...