Gauge Theory and Topology Seminar, SEMINARS
April 26, 2024 3:30 pmKnot Floer homology is a powerful invariant of knots and links, developed by Ozsvath and Szabo in the early 2000s. Among other properties, it detects the genus, detects fiberedness, and...
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SEMINARS, HARVARD-MIT COMBINATORICS
April 26, 2024 3:00 pmRecently, there has been much progress in understanding stationary measures for colored (also called multi-species or multi-type) interacting particle systems, motivated by asymptotic phenomena and rich underlying algebraic and combinatorial...
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CMSA QUANTUM MATTER IN MATH & PHYSICS SEMINAR, CMSA EVENTS
April 26, 2024 10:30 amIn collider physics, perturbative quantum field theory is the workhorse framework for computing theoretical predictions to compare to experimental measurements. An observable is called "safe" if its cross section can...
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CMSA ALGEBRAIC GEOMETRY IN STRING THEORY SEMINAR, SEMINARS, CMSA EVENTS
April 25, 2024 10:30 amGiven a family of smooth curves C -> S with a line bundle L on C, it is natural to study the locus of points x in S where L_x...
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SEMINARS, OPEN NEIGHBORHOOD
April 24, 2024 4:30 pmWe make predictions of the future by using initial conditions and the probabilities of transitioning from one state to another via some process. To make inference about the past, we...
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SEMINARS, HARVARD-MIT COMBINATORICS
April 24, 2024 4:15 pmLet (W,S) be a Coxeter system, and write S={s_i : i is in I}, where I is a finite index set. Consider a nonempty finite convex subset L of W....
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SEMINARS, NUMBER THEORY
April 24, 2024 3:00 pmLet $E/\mathbb{Q}$ be an elliptic curve of analytic rank $2$, and let $p$ be an odd prime of good, ordinary reduction such that the $p$-torsion of $E(\mathbb{Q})$ is trivial. Let...
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SEMINARS, HARVARD-MIT ALGEBRAIC GEOMETRY
April 23, 2024 3:00 pmUnderstanding the line bundles on curves are essential to understanding the curves themselves. As such, the universal Picard stack J^d_g --> M_g parametrizing degree d line bundles on genus g...
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Gauge Theory and Topology Seminar, SEMINARS
April 19, 2024 3:30 pmWe describe an approach to Bialynicki-Birula theory for holomorphic C^∗ actions on complex analytic spaces and Morse-Bott theory for Hamiltonian functions for the induced circle actions. A key principle is...
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SEMINARS, HARVARD-MIT COMBINATORICS
April 19, 2024 3:00 pmMarkov chains provide a natural approach to sample from various distributions on the independent sets of a graph. For the uniform distribution on independent sets of a given size $k$...
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