Cohomology of the moduli of Higgs bundles via positive characteristic
Abstract: In this talk, I will survey the P=W conjecture, which describes certain structures of the cohomology of the moduli space of Higgs bundles on a curve in terms of […]
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Machine learning with mathematicians
https://youtu.be/DMvmcTQuofE Speaker: Alex Davies, DeepMind Title: Machine learning with mathematicians Abstract: Can machine learning be a useful tool for research mathematicians? There are many examples of mathematicians pioneering new technologies […]
Learning to School in the presence of hydrodynamic interactions
Abstract: Fluids pervade complex systems, ranging from fish schools, to bacterial colonies and nanoparticles in drug delivery. Despite its importance, little is known about the role of fluid mechanics in such […]
1/27/2022 – Interdisciplinary Science Seminar
Title: Polynomials vanishing at lattice points in convex sets Abstract: Let P be a convex subset of R^2. For large d, what is the smallest degree r_d of a polynomial vanishing at […]
Singular Calabi-Yau mirror symmetry
Speaker: Bong Lian Title: Singular Calabi-Yau mirror symmetry Abstract: We will consider a class of Calabi-Yau varieties given by cyclic branched covers of a fixed semi Fano manifold. The first […]
Maximal quantum chaos of the critical Fermi surface
Speaker: Maria Tikhanovskaya (Harvard) Title: Maximal quantum chaos of the critical Fermi surface Abstract: In this talk, I will describe many-body quantum chaos in a recently proposed large-N theory for critical Fermi […]
Curve-counting with fixed domain (“Tevelev degrees”)
VirtualAbstract: We will consider the following problem: if (C,x_1,…,x_n) is a fixed general pointed curve, and X is a fixed target variety with general points y_1,…,y_n, then how many maps f:C -> […]
Learning and inference from sensitive data
VirtualSpeaker: Adam Smith (Boston University) Title: Learning and inference from sensitive data Abstract: Consider an agency holding a large database of sensitive personal information—say, medical records, census survey answers, web searches, or genetic data. The agency would […]
Neural diffusion PDEs, differential geometry, and graph neural networks
https://youtu.be/7KMcXHwQzZs Speaker: Michael Bronstein, University of Oxford and Twitter Title: Neural diffusion PDEs, differential geometry, and graph neural networks Abstract: In this talk, I will make connections between Graph Neural […]
Kramers-Wannier-like duality defects in higher dimensions
Title: Kramers-Wannier-like duality defects in higher dimensions Abstract: I will introduce a class of non-invertible topological defects in (3 + 1)d gauge theories whose fusion rules are the higher-dimensional analogs of those […]
The Amplituhedron BCFW Triangulation
Abstract: The (tree) amplituhedron was introduced in 2013 by Arkani-Hamed and Trnka in their study of N=4 SYM scattering amplitudes. A central conjecture in the field was to prove that the […]