Sep 26

Applied Math Seminar- Gourab Ghoshal, University of Rochester
3:45PM, Tue Sep 26 2017, Math 250

Sep 26

Graduate Mentoring Seminar- Dr. David Hemmer
An Introduction to Mathematical Publishing for graduate students.
5:00PM, Tue Sep 26 2017, Math 250

An Introduction to Mathematical Publishing for graduate students.

Sep 27

Analysis Seminar-Mehrdad Kalantar, University of Houston
Boundary actions and applications to rigidity problems in operator algebras.
4:00PM, Wed Sep 27 2017, Math 250

We show how boundary actions in the sense of Furstenberg can be applied to some rigidity problems in operator algebras. In contrast to previous work, we apply measurable boundaries in C*-algebra context, and topological boundaries in von Neumann algebraic setting.
This is joint work with Yair Hartman.

Oct 2

Algebra Seminar- Alexander Shapiro, University of Toronto
Positive representations of quantum groups.
4:00PM, Mon Oct 2 2017, Math 250

Positive representations are certain bimodules for a
quantum group and its modular dual. In 2001, Ponsot and Teschner
constructed these representations for $U_q(\mathfrak{sl}_2)$ and
proved that they form a continuous braided monoidal category, where
the word "continuous" means that a tensor product of two
representations decomposes into a direct integral rather than a direct
sum. Ten years later, their construction was generalized to all other
types by Frenkel and Ip. Although the corresponding categories were
braided more or less by construction, it remained a conjecture that
they are monoidal. Following a joint work in progress with Gus
Schrader, I will discuss the proof of this conjecture for
$U_q(\mathfrak{sl}_n)$. The proof is based on our previous work where
the quantum group is realized as a quantum cluster $\mathcal
X$-variety. If time permits, I will outline a relation between this
story and the modular functor conjecture in higher Teichmüller theory
along with several other applications.

Oct 3

Applied Math Seminar- Jie Sun,Clarkson University
3:45PM, Tue Oct 3 2017, Math 250

Oct 3

Graduate Mentoring Seminar- Dr. William Menasco
"Documenting Your Achievements."
5:00PM, Tue Oct 3 2017, Math 250

"Documenting Your Achievements."