CMSA EVENTS
April 1, 2021 9:00 amSince the discovery of high-temperature superconductors in cuprates in 1986, many theoretical ideas have been proposed which have enriched condensed matter theory. Especially, the resonating valence bond (RVB) state for...
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HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN
April 1, 2021 4:30 pmMany models in equilibrium statistical physics produce random fractal curves “at criticality.” I will discuss one particular model, the loop-erased random walk, which is closely related to uniform spanning trees...
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CMSA EVENTS
March 31, 2021 3:00 pmAre proof assistants relevant to mathematics? One approach to this question is to explore the breadth of mathematical topics that can be formalised. The partition calculus was introduced by Erdös...
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RANDOM MATRIX
March 31, 2021 2:00 pmThe O'Connell-Yor polymer is a fundamental model of a polymer in a random environment. It corresponds to the positive temperature version of Brownian Last Passage percolation. Although much is known about...
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CMSA EVENTS
March 31, 2021 10:30 amThe magnetoroton is the neutral excitation of a gapped fractional quantum Hall state. We argue that at zero momentum the magnetoroton has spin ±2, and show how the spin of the magnetoroton...
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CMSA EVENTS
March 30, 2021 9:00 amTITLE: On the History of quantum cohomology and homological mirror symmetry ABSTRACT: About 30 years ago, string theorists made remarkable discoveries of hidden structures in algebraic geometry. First, the usual cup-product...
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DIFFERENTIAL GEOMETRY
March 30, 2021 8:00 amIn the first part of the talk, I will establish the rationality of generating series formed from Euler characteristics of tautological bundles over Hilbert schemes of points on surfaces. In...
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HARVARD-MIT ALGEBRAIC GEOMETRY
March 30, 2021 3:00 pmThis describes joint work in progress with M. Mustata, in which we study the filtration on local cohomology sheaves induced by their natural mixed Hodge module structure. Special properties of...
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MATHEMATICAL PICTURE LANGUAGE
March 30, 2021 10:00 amThe hyperfinite II1 factor contains a wealth of subfactors, many of which give rise to new and fascinating mathematical structures. For instance, the standard representation of a subfactor generates a...
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CMSA EVENTS
March 29, 2021 10:00 amQuantum cohomology is a deformation of the cohomology of a projective variety governed by counts of stable maps from a curve into this variety. Quantum K-theory is in a similar...
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