SEMINARS, HARVARD-MIT COMBINATORICS
November 3, 2023 3:00 pmTranslational tiling is a covering of a space (such as Euclidean space) using translated copies of one building block, called a "translational tile'', without any positive measure overlaps. Can we...
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SEMINARS, CMSA EVENTS
November 3, 2023 10:00 amIt is by now well-understood that gapped ground states of local Hamiltonians can be classified topologically, and the nontrivial states exhibit many interesting topological phenomena. In this talk I’ll discuss...
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SEMINARS, CMSA EVENTS
November 2, 2023 4:30 pmA central goal of condensed matter physics is to understand which quantum phases of matter can emerge in a quantum material. For this purpose, one should be able to not...
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SEMINARS, OPEN NEIGHBORHOOD
November 1, 2023 4:30 pmThe theory of "random surfaces" has emerged in recent decades as a significant field of mathematics, lying somehow at the interface between geometry, probability, combinatorics, analysis and mathematical physics. Just...
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SEMINARS, HARVARD-MIT COMBINATORICS
November 1, 2023 4:15 pmDeligne connects the weight-zero compactly supported cohomology of a moduli space to the combinatorics of its compactifications. This gives a method for using combinatorics to compute a piece of the...
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INFORMAL GEOMETRY AND DYNAMICS, SEMINARS
November 1, 2023 4:00 pmPlease see website for more details: www.math.harvard.edu/~ctm/sem.
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SEMINARS, CMSA EVENTS
November 1, 2023 3:30 pmMany modern learning methods, such as deep neural networks, are so complex that they perfectly fit the training data. Despite this, they generalize well to the unseen data. Motivated by...
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SEMINARS, NUMBER THEORY
November 1, 2023 3:00 pmGiven an arithmetic subgroup Γ in a semi-simple Lie group G, the multiplicity of an irreducible representation of G in L^2(Γ\G) is unknown in general. We observe the multiplicity of...
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SEMINARS, CMSA EVENTS
November 1, 2023 10:30 amThe study of topological band insulators has revealed fascinating phases characterized by band topology indices, harboring extraordinary boundary modes protected by anomalous symmetry actions. In strongly correlated systems, it has...
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SEMINARS, HARVARD-MIT ALGEBRAIC GEOMETRY
October 31, 2023 3:00 pmIn my talk, I will start by reviewing how various properties of characteristic zero singularities can be understood topologically by ways of the Riemann-Hilbert correspondence. After that, I will explain...
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