Algebra Seminar
Algebra Seminar
Algebra Seminar
Differential Geometry and Physics Seminar Speaker: Yinan Wang, Peking University Title: On E7+1/2 gauge theory Abstract: We propose that an exotic gauge theory based on the intermediate Lie algebra E7+1/2 naturally appears in the landscape of 6d F-theory. We give strong evidence of this proposal with 6d anomaly cancellation, dual M-theory geometry and elliptic genus of the single-string […]
Differential Geometry and Physics Seminar Speaker: Monica Jinwoo Kang, Texas A&M University Title: Index from a point Abstract: We argue that protected data of 4d N=2 SCFTs admits a purely algebro-geometric characterization. We conjecture that both the Macdonald index (and hence the Schur index) and the Higgs branch are encoded by a bifiltered affine scheme determined by […]
New Technologies in Mathematics Seminar Speaker: George Tsoukalas, UT Austin Dept. of Computer Science and Google DeepMind. Title: Automated Theory Formation and Interestingness in Mathematics Abstract: Advances in modern learning systems are beginning to demonstrate utility for select problems in research mathematics. A broader challenge is that of developing new theories automatically. This area has a rich […]
Colloquium Speaker: Olivier Bernardi, Brandeis University Title: Bijections for hyperplane arrangements of Coxeter type Abstract: This talk is about real hyperplane arrangements whose hyperplanes are of the form {xi −xj = s} or {xi +xj = s}. We describe a bijective framework for a large family of such arrangements which we call transitive. For each transitive arrangement A, […]
Quantum Field Theory and Physical Mathematics Seminar Speaker: Pierre Vanhove (Institute of Theoretical Physics - Saclay) Title: Reflexive Polytopes and the Convergence of Feynman Integrals Abstract: In the parametric representation, Feynman integrals can be viewed as Euler integrals defined by the Symanzik polynomials of a graph. The convergence properties of these integrals are intimately tied […]
Algebra Seminar
Differential Geometry and Physics Seminar Speaker: Tristan Collins, University of Toronto Title: Complete Calabi-Yau Metrics and Optimal Transport Abstract: I will discuss the connection between optimal transport and the existence of complete Calabi-Yau metrics on log Calabi-Yau varieties. I will explain how the geometric problem of constructing complete Calabi-Yau metrics gives rise to problems in the boundary […]
Algebra Seminar Speaker: Lazar Guterman, Hebrew University of Jerusalem Title: Electrical networks, Grassmannians, and cluster algebras Abstract: An electrical network with $n$ boundary vertices induces a matrix called the response matrix which measures the electrical properties of the network. The set of response matrices of all electrical networks has a characterization in terms of positivity of […]
Colloquium Speaker: Julien Tailleur, MIT Title: The active Young-Dupré equation Abstract: The Young-Dupré equation is a cornerstone of the equilibrium theory of capillary and wetting phenomena. In the biological world, interfacial phenomena are ubiquitous, from the spreading of bacterial colonies to tissue growth and flocking of birds, but the description of such active systems escapes […]
Algebra Seminar Speaker: Padamavathi Srinivasan, Boston University Title: Covers of curves, Ceresa cycles, and unlikely intersections Abstract: The Ceresa cycle is a canonical homologically trivial algebraic cycle associated to a curve in its Jacobian. In his 1983 thesis, Ceresa showed that this cycle is algebraically nontrivial for a very general complex curve of genus at least […]
Colloquium Speaker: Dor Minzer (MIT) Title: Recent Advances in Probabilistically Checkable Proofs Abstract: The PCP Theorem is a cornerstone of computer science, with applications to hardness of approximation, verification, interactive protocols and more. It asserts a witness for the satisfiability of a given 3CNF formula can be encoded in a robust way that allows local checking.In this […]