Gauge Theory and Topology Seminar, SEMINARSSeptember 29, 2023 3:30 pm
SEMINARS, HARVARD-MIT COMBINATORICSSeptember 29, 2023 3:00 pm
Oriented matroids are matroids with extra sign data, and they are useful in the tropical study of real algebraic geometry. In order to study the topology of real algebraic hypersurfaces...
SEMINARS, CMSA EVENTSSeptember 29, 2023 2:00 pm
In this talk I will explain my works with Y. Tachikawa to study anomaly in heterotic string theory via homotopy theory, especially the theory of Topological Modular Forms (TMF). TMF...
CMSA Quantum Matter in Mathematics and Physics: Exact Quantum Algorithms to Recognize Phases of Matter and Exactly Solvable 2D Models with Anomalous Bipartite and Topological Entanglement Entropy
SEMINARS, CMSA EVENTSSeptember 29, 2023 10:00 am
In this talk, I will report my two recent results at the intersection of quantum information and strongly interacting phases of matters. In the first half of the talk, we...
CMSA Quantum Matter in Mathematics and Physics: Quantum field theory approach to quantum information
SEMINARS, CMSA EVENTSSeptember 28, 2023 4:30 pm
We apply the formalism of quantum field theory and Euclidean space-time path integral to investigate a class of quantum information problems. In particular, we investigate quantum many-body systems under weak-measurement...
COLLOQUIUMSSeptember 28, 2023 3:00 pm
Random surfaces are central paradigms in equilibrium statistical mechanics. As these surfaces become larger, their statistical behaviors become strongly dependent on how their boundaries are pinned down. This can lead...
CMSA Active Matter Seminar: Frustration-free states of cell fate networks: Strongly driven mixtures and membranes: Out of equilibrium surprises
SEMINARS, CMSA EVENTSSeptember 28, 2023 1:00 pm
The more prosaic cousin of active matter, driven inactive matter, is still full of unexpected phenomena. I will discuss two projects involving two seemingly mundane systems, a phase-separating colloidal mixture...
Richard P. Stanley Seminar in Combinatorics: Some enumerative properties of parking functions and labelled forests
SEMINARS, HARVARD-MIT COMBINATORICSSeptember 27, 2023 4:15 pm
A parking function is a sequence (a_1,…,a_n) of positive integers such that if b_1<=…<=b_n is the increasing rearrangement of a_1,…,a_n, then b_i<=i for 1<=i<=n. Parking functions of length n are...
SEMINARS, CMSA EVENTSSeptember 27, 2023 3:30 pm
A dimer tiling of Z^d is a collection of edges such that every vertex is covered exactly once. In 2000, Cohn, Kenyon, and Propp showed that 2D dimer tilings satisfy...
SEMINARS, NUMBER THEORYSeptember 27, 2023 3:00 pm
We prove, for any prime ∫ greater than or equal to 5, that a density one set of rational elliptic curves are ∫-Diophantine stable in the sense of Mazur and...