CMSA EVENTS
October 8, 2020 10:30 amOrbifolds are ubiquitous in physics, not just explicitly in CFT, but going undercover with names like Kramers-Wannier duality, Jordan-Wigner transformation, or GSO projection. All of these names describe ways to...
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CMSA EVENTS
October 7, 2020 3:00 pmGraph representation learning has emerged as a dominant paradigm for networked data. Still, prevailing methods require abundant label information and focus on representations of nodes, edges, or entire graphs. While...
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NUMBER THEORY
October 7, 2020 3:00 pmMazur conjectured, after Faltings’s proof of the Mordell conjecture, that the number of rational points on a curve of genus g at least 2 defined over a number field of...
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CMSA EVENTS
October 7, 2020 10:30 amIn this talk, I will describe how symmetry can enrich strong-randomness quantum critical points and phases, and lead to robust topological edge modes coexisting with critical bulk fluctuations. Our approach provides a...
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DIFFERENTIAL GEOMETRY
October 6, 2020 8:00 amIn this talk, I will introduce the Gopakumar-Vafa(GV) invariant and show one calculation on the nonreduced cycle. The GV invariant is an integral invariant predicted by physicists that counts the...
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CMSA EVENTS
October 6, 2020 11:30 amDeep learning has revolutionized our ability to generate novel images and 3D shapes. Typically neural networks are trained to map a high-dimensional latent code to full realistic samples. In this...
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MATHEMATICAL PICTURE LANGUAGE
October 6, 2020 10:00 amInspired by fractional quantum Hall physics and Tannaka-Krein duality, it is conjectured that every modular tensor category (MTC) or (2+1)-topological quantum field theory (TQFT) can be realized as the representation...
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CMSA EVENTS
October 5, 2020 8:00 pmTITLE: Kunihiko Kodaira and complex manifolds. ABSTRACT: Kodaira’s motivation was to generalize the theory of Riemann surfaces in Weyl’s book to higher dimensions. After quickly recalling the chronology of Kodaira, I will...
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CMSA EVENTS
October 5, 2020 10:30 amIn the 90s', Witten gave a physical derivation of an isomorphism between the Verlinde algebra of $GL(n)$ of level $l$ and the quantum cohomology ring of the Grassmannian $\text{Gr}(n,n+l)$. In...
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CMSA EVENTS
October 2, 2020 10:45 amTITLE: Birational geometry ABSTRACT: About main achievements in birational geometry during the last fifty years. Written articles will accompany each lecture in this series and be available as part of the...
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