Week of December 1, 2024

December 2, 2024
Tea Cookies 3:30pm -
KT 8th Floor Lounge
Geometry, Symmetry and Physics Representations of the Double Dyck Path Algebra and Connections to the Elliptic Hall Algebra Nicolle González - Berkeley 4:30pm -
KT 801
December 3, 2024
Tea Cookies 3:30pm -
Geometry & Topology Marked Length Spectrum Rigidity for Surface Amalgams Yandi Wu - Rice University 4:00pm -
KT 207
Quantum Topology and Field Theory Skein modules, character varieties and essential surfaces of 3-manifolds Efstratia Kalfagianni - Michigan State University 4:30pm -
KT 101
December 4, 2024
Tea Cookies 3:30pm -
KT 8th Floor Lounge
December 5, 2024
Tea Cookies 3:30pm -
KT 8th Floor Lounge
Analysis Fractional Laplacians: propagation, delocalisation, and evolution Ruoyu Wang - Yale/UCL 4:00pm -
KT 207
December 6, 2024
Friday Mornings Friday Morning Scott Sheffield - MIT 10:00am -
KBT 801

Abstracts

Week of December 1, 2024

December 2, 2024
Tea Cookies 3:30pm -
KT 8th Floor Lounge

Please join us for pre-seminar Tea
Geometry, Symmetry and Physics Representations of the Double Dyck Path Algebra and Connections to the Elliptic Hall Algebra 4:30pm -
KT 801

The double Dyck path algebra B_{q,t} is constructed from an infinite quiver of affine Hecke algebras connected via raising and lowering operators. In this talk I will discuss joint work with Eugene Gorsky and Jose Simental where we construct and classify the semisimple representations of  B_{q,t}. I will also explain how the elliptic Hall algebra arises as the spherical subalgebra of B_{q,t}. 
December 3, 2024
Tea Cookies 3:30pm -

Please join us for pre-seminar Tea
Geometry & Topology Marked Length Spectrum Rigidity for Surface Amalgams 4:00pm -
KT 207

The marked length spectrum of a negatively curved metric space can be thought of as a length assignment to every closed geodesic in the space. A celebrated result by Croke and Otal says that metrics on negatively curved closed surfaces are determined completely by their marked length spectra. In my talk, I will discuss my work towards extending Croke and Otal’s result to a large class of surface amalgams which are generalizations of closed, negatively curved surfaces.
Quantum Topology and Field Theory Skein modules, character varieties and essential surfaces of 3-manifolds 4:30pm -
KT 101
I will discuss recent progress towards  understanding how the existence of essential surfaces in a 3-manifold reflects on the structure of its Kauffman bracket skein module.
Time permitting, I will also discuss how this progress can be used to compute the dimension of these skein modules for “small” 3-manifolds.
The talk will be based on joint work with Renaud Detcherry and Adam Sikora.
 
December 4, 2024
Tea Cookies 3:30pm -
KT 8th Floor Lounge

Please join us for pre-seminar Tea
December 5, 2024
Tea Cookies 3:30pm -
KT 8th Floor Lounge

Please join us for pre-seminar Tea
Analysis Fractional Laplacians: propagation, delocalisation, and evolution 4:00pm -
KT 207

“How concentrated can an Laplace eigenfunction be in a small set?”

In this talk, we pedagogically survey some old results around the question, and connect such eigenstate concentration to scars and chaos in quantum systems. We then discuss some new control results for fractional Laplacians, with their application in obtaining new decay estimates for linearised gravity and capillary water waves. Those are joint works with Perry Kleinhenz (Illinois State), and with Jian Wang (IHÉS).
December 6, 2024
Friday Mornings Friday Morning 10:00am -
KBT 801

TBA