CMSA EVENTS
January 13, 2022 9:00 amA celebrated theorem of Nash completed by Kuiper implies that every smooth Riemannian surface has a C¹ isometric embedding in the Euclidean 3-space E³. An analogous result, due to Burago...
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CMSA EVENTS
December 16, 2021 9:00 amIn this talk, I will introduce the smooth closing lemma for area-preserving diffeomorphisms on surfaces. The proof is based on a Weyl formula for PFH spectral invariants and a non-vanishing...
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CMSA GENERAL RELATIVITY SEMINAR
December 15, 2021 9:30 amI will present a construction of the object in the title which, applied to the classical Toda system, controls the theory of categorical representations of compact Lie groups, along with...
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CMSA EVENTS
December 15, 2021 2:00 pmA central challenge in quantum many-body physics is to estimate the properties of natural quantum states, such as the quantum ground states and Gibbs states. Quantum Hamiltonian complexity offers a...
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MATHEMATICAL PICTURE LANGUAGE
December 14, 2021 9:30 am I will give an overview of recent joint work with Jinmin Wang, Shmuel Weinberger, and Zhizhang Xie on the resolutions of several open questions of Gromov on positive scalar...
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CMSA EVENTS
December 14, 2021 9:30 amA long-standing problem in random graph theory has been to determine asymptotically the length of a longest induced path in sparse random graphs. Independent work of {\L}uczak and Suen from...
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Quasiparticle excitations in 3 + 1 dimensions can be either bosons or fermions. In this work, we introduce the notion of fermionic loop excitations in 3 + 1 dimensional topological...
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CMSA EVENTS
December 9, 2021 9:30 amwill speak on: The Noether Theorems in Geometry: Then and Now The 1918 Noether theorems were a product of the general search for energy and momentum conservation in Einstein’s newly...
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HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN, COLLOQUIUMS
December 9, 2021 4:30 pmThe dynamical degree of an invertible self-map of projective space is an asymptotic measure of the algebraic complexity of the iterates of the map. This numerical invariant controls many aspects...
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CMSA EVENTS
December 8, 2021 9:30 amTree decompositions are a powerful tool in both structural graph theory and graph algorithms. Many hard problems become tractable if the input graph is known to have a tree decomposition of bounded “width”....
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