Colloquia & Seminars

Title: Skein valued curve counts for the topological vertex and knot conormals

Mathematical Physics and Algebraic Geometry Seminar Speaker: Tobias Ekholm, Uppsala University Title: Skein valued curve counts for the topological vertex and knot conormals Abstract: Combining the invariance of holomorphic curve counts in the skein module with a study of holomorphic curves at infinity of the vertex we find three simple skein operator polynomials that annihilates the (skein valued) topological vertex. We show that these operator polynomials together with natural initial conditions determine the partition function uniquely and then demonstrate that the original Aganagic-Klemm-Marino-Vafa formula for the topological vertex interpreted as a skein valued curve count satisfies the operator polynomials. This is joint work with Longhi and Shende. We end with a general discussion of similar 'skein D-modules' for...

Title: Decoherence and dissipation induced topological phenomenon in open quantum system

Quantum Field Theory and Physical Mathematics Seminar Speaker: Yizhi You (Northeastern) Title: Decoherence and dissipation induced topological phenomenon in open quantum system Abstract: In this talk, I will explore decoherence effects in open quantum systems through a holographic lens. While decoherence and dissipation intuitively seem to trivialize quantum states and reduce long-range mutual information, they can, in fact, give rise to intriguing mixed quantum states far from equilibrium. I will begin by discussing the holographic duality between a d-dimensional mixed-state symmetry-protected topological phase and a $d+1$-dimensional subsystem symmetry-protected topological state. This duality links the mixed ensemble in the lower dimension to the entanglement properties of the higher-dimensional wavefunction, offering a practical approach for analyzing nonlinear quantities and quantum information...

Title: Identity crises phenomena in the large cardinal hierarchy

Member Seminar Speaker: Alejandro Poveda Title: Identity crises phenomena in the large cardinal hierarchy Abstract: It is well-known that certain mathematical questions cannot be answered on the grounds of the standard foundation of mathematics. Large cardinal axioms constitute a series of postulates about the higher infinite which permit to classify these undecidable problems in a coherent hierarchy way. Specifically, large cardinals together with ZFC (the standard axiomatic of Mathematics) provide a complete classification of all mathematical theories according to the so-called consistency strength. One of the main tenets of modern set theory has been to investigate how the large-cardinal hierarchy is organized across the mathematical universe. To a large extent this hierarchy is nicely disposed and such a disposition is unambiguous (i.e., immune to...

Title: Foundation Seminar

Foundation Seminar (Joint Seminar with BHI) Location: CMSA Seminar Room G10 Speaker: Tracy Slatyer (MIT) Title: TBA

Title: Mathematical Structures of Scattering Amplitudes

Colloquium Speaker: Anastasia Volovich, Brown University Title: Mathematical Structures of Scattering Amplitudes Abstract: Planar N=4 Yang-Mills scattering amplitudes have been computed to very high loop order. They have many remarkable properties that have sparked interest from mathematicians working on combinatorics, algebraic geometry, and number theory. At the same time, several methods that have been developed for N=4 Yang-Mills can often be applied to more general quantum field theories, including QCD. I will overview some of these exciting developments.

Title: General Relativity Seminar

General Relativity Seminar

Title: Colloquium

Colloquium Speaker: Russell Miller, CUNY

Title: General Relativity Seminar

General Relativity Seminar Speaker: Tin Yau Tsang, Courant Institute, New York University    

Title: Factorization Homology

Geometry and Quantum Theory Seminar Speakers: Sunghyuk Park and Vasily Krylov, Harvard CMSA Title: Factorization Homology

Title: CMSA Q&A Seminar

CMSA Q&A Seminar  

Title: New Technologies in Mathematics Seminar

New Technologies in Mathematics Seminar Speaker: Leyan Pan, Georgia Tech

Title: Mathematical Physics and Algebraic Geometry Seminar

Mathematical Physics and Algebraic Geometry Seminar    

Title: Quantum Cellular Automata

Special Seminar Speaker: Jeongwan Haah, Stanford University Title: Quantum Cellular Automata Abstract: A discrete time evolution on lattice systems that has a notion of lightcone is called a quantum cellular automaton. Lattice translation in 1D is a well-known example of QCA that is nontrivial in the sense that it is not a local Hamiltonian evolution. In higher dimensions, more subtle QCA are found in relation to certain topological phases of matter, but the scope of all QCA is far from being fully determined. I will report the status of our understanding on this subject, emphasizing the role of locally generated simple subalgebras.

Title: Quantum Field Theory and Physical Mathematics Seminar

Quantum Field Theory and Physical Mathematics Seminar  

Title: Member Seminar

Member Seminar Speaker: Robert Moscrop