Upcoming Events
Examples of patchworking (Section 2.3.3–4 of [IMS09]), if time permits, dealing with non-convex triangulations (Section 2.3.5 of [IMS09])
(joint work with Eunsu Hur) Fargues and Scholze give a geometric construction of L-parameters attached to smooth irreducible representations of p-adic groups. They furthermore predict an enhancement to a category equivalence, following the philosophy of the geometric Langlands program. I will…
If a Hilbert space is built from qubits, we may define complexity of a global unitary U by the minimal number of one- and two-qubit unitaries that comprise the global U. I will discuss three questions that can be posed using this complexity. (i) What quantum error correcting codes are there on D…
We study the renormalization group method and its applications in probability theory.
Hecke operators play a fundamental role in understanding the arithmetic properties of modular and automorphic forms. Since the advent of the original Eichler-Shimura relation, it has been clear that the mod-p behavior of Hecke correspondences is crucial for such applications. However, one could…
Spin models on graphs are a source of many interesting questions in statistical physics, algorithms, and combinatorics. The Ising model is a classical example: first introduced as a model of magnetization, it can combinatorially be described as a weighted probability distribution on two-vertex…
Abstract: Heegaard Floer homology and instanton Floer homology are packages of invariants in low dimensional topology constructed via symplectic topology and gauge theory respectively. Kronheimer and Mrowka conjecture that appropriate versions of the two invariants are equivalent. I will discuss…