CMSA EVENTS
September 30, 2020 9:00 amTITLE: Hodge structures and the topology of algebraic varieties ABSTRACT: We review the major progress made since the 50’s in our understanding of the topology of complex algebraic varieties. Most of...
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MATH TABLE
September 30, 2020 4:30 pmThe geometry of rhombic tilings and tessellations like the Penrose tiling have captivated mathematicians and artists alike. Hidden in the geometry of certain rhombic tilings of certain polygons, though, is...
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NUMBER THEORY
September 30, 2020 3:00 pm$\ell$-torsion conjecture states that $\ell$-torsion of the class group $|\text{Cl}_K[\ell]|$ for every number field $K$ is bounded by $\text{Disc}(K)^{\epsilon}$. It follows from a classical result of Brauer-Siegel, or even earlier...
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CMSA EVENTS
September 30, 2020 12:00 pmTITLE: Immersions of manifolds and homotopy theory ABSTRACT: The interface between the study of the topology of differentiable manifolds and algebraic topology has been one of the richest areas of work...
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CMSA EVENTS
September 30, 2020 10:30 amWe discover a wide range of new nonperturbative effects in quantum gravity, namely moduli spaces of constrained instantons of the Einstein-Hilbert action. We find these instantons in all spacetime dimensions,...
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DIFFERENTIAL GEOMETRY
September 29, 2020 8:00 pmI will discuss some aspects of SYZ mirror symmetry for pairs (X,D) where X is a del Pezzo surface or a rational elliptic surface and D is an anti-canonical divisor...
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HARVARD-MIT ALGEBRAIC GEOMETRY
September 29, 2020 3:00 pmIf a complex, integral, projective curve C has only planar singularities, then its Jacobian admits a natural compactification with interesting topology. Work of Oblomkov, Shende, and others suggests the existence...
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CMSA EVENTS
September 29, 2020 11:30 amGiven an n x n matrix A with bounded entries, we study the problem of testing whether A is positive semi-definite (PSD) via only a small number of queries to...
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MATHEMATICAL PICTURE LANGUAGE
September 29, 2020 10:00 amSubfactors and K-theory are useful mechanisms for understanding modular tensor categories and conformal field theories CFT. As part of this, one issue is to try and construct or reconstruct a...
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CMSA EVENTS
September 28, 2020 9:00 amTITLE: From Deep Learning to Deep Understanding ABSTRACT: In this talk I will discuss a couple of research directions for robust AI beyond deep neural networks. The first is the need...
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