In 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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Given 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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We 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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Let (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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Let $E/\mathbb{Q}$ 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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Understanding 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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We 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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Markov 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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Time: Friday April 19 10:00 am - 11:30 am ET Location: Harvard CMSA G10 Zoom: https://harvard.zoom.us/j/977347126 Password: cmsa
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**Special Time and Location** The degeneracy of a graph is a central measure of sparseness in extremal graph theory. In 1966, Erdős conjectured that $d$-degenerate bipartite graphs have Turán number...
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