TITLE: Homological (homotopical) algebra and moduli spaces in Topological Field theories ABSTRACT: Moduli spaces of various gauge theory equations and of various versions of (pseudo) holomorphic curve equations have played important...
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In this talk, we study certain moduli spaces of semistable objects in the Kuznetsov component of a cubic fourfold. We show that they admit a symplectic resolution \tilde{M} which is...
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Title: Replica Symmetry Breaking for Random Regular NAESAT Abstract: Ideas from physics have predicted a number of important properties of random constraint satisfaction problems such as the satisfiability threshold and...
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We consider the problem of estimating the number of distinct elements in a large data set from a random sample of its elements. The problem occurs in many applications, including...
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Strominger--Yau--Zaslow conjecture predicts the existence of special Lagrangian fibrations on Calabi--Yau manifolds. The conjecture inspires the development of mirror symmetry while the original conjecture has little progress. In this talk,...
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Motivated by the relation between anomaly and topological/SPT order in one higher dimension, we propose a solution to the chiral fermion problem. In particular, we find several sufficient conditions, such...
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We will begin by discussing hyperbolic geometry, and how it can be used to build "evenly curved" metrics on a donut with one point removed. We will then discuss Maryam...
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There is a long standing connection between the Tate conjecture in codimension 1 and finiteness properties, which first appeared in Tate's seminal work on the endomorphisms of abelian varieties. I will...
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We will discuss an elementary way of detecting some global anomalies from the way the symmetry algebra is realized on the torus Hilbert space of the anomalous theory, give a...
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Given a smooth plane curve C defined over an arbitrary field k, we say that C is transverse-free if it has no transverse lines defined over k. If k is...
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