Chuck Doran, Harvard CMSA

Mathematical Physics and Algebraic Geometry Seminar Speaker: Hamza Ahmed, Northeastern University Title: Heterotic Little String Theories and Inequivalent Genus-One Fibrations Abstract: Little String Theories (LSTs) are 6D Supersymmetric quantum field theories (SQFTs) with an additional physical relation called T-duality. This enables us to arrange them into equivalence classes, where each equivalence class has 6D LSTs that lead […]

Mathematical Physics and Algebraic Geometry Seminar Speaker: Ju Tan (Boston University) Title: Mirror Construction for Nakajima Quiver Varieties Abstract: Quiver possesses a rich representation theory. On the one hand, it exhibits a deep connection with instantons and coherent sheaves as illuminated by the ADHM construction and the works of many others. On the other hand, […]

Mathematical Physics and Algebraic Geometry Seminar Speaker: Fabian Ruehle (Northeastern University) Title: Bounds and Dualities of Type II Little String Theories Abstract: The goal of this seminar is to introduce Type II Little String Theories (LSTs), which are six-dimensional supersymmetric QFTs. We explore how to geometrically engineer these theories within the context of M-/F-theory (top-down) as well […]

Mathematical Physics and Algebraic Geometry Seminar Speaker: Tom Scanlon, UC Berkeley Title: (Un)likely intersections Abstract: The Zilber-Pink conjectures predicts that for an ambient special variety  (such as an abelian variety or a Shimura variety), if   is an irreducible algebraic subvariety which is not contained a proper special subvariety of  (e.g. a proper algebraic subgroup in the abelian variety case […]

Mathematical Physics and Algebraic Geometry Seminar Speaker: Qianyu Hao, University of Geneva Title: A new construction of c = 1 conformal blocks Abstract: The Virasoro conformal blocks are very interesting since they have many connections to other areas of math and physics. For example, when c = 1, they are related to tau functions of Painlevé equations. I will first explain what […]

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 […]

https://youtu.be/_LDiw4Lq-9c Mathematical Physics and Algebraic Geometry Seminar Speaker: Daniel Pomerleano (UMass Boston) Title: The Quantum GIT conjecture Abstract: Let X be a Fano variety with G action. The quantum GIT conjecture predicts a formula for the quantum cohomology of "anti-canonical" GIT quotients X//G in terms of the equivariant quantum cohomology of X. The formula is […]

https://youtu.be/O2U7elI0mbo Mathematical Physics and Algebraic Geometry Seminar Speaker: Artan Sheshmani (BIMSA) Title: Tyurin degenerations, Relative Lagrangian foliations and categorification of DT invariants Abstract: We discuss construction of a derived Lagrangian intersection theory of moduli spaces of perfect complexes, with support on divisors on compact Calabi-Yau threefolds. Our goal is to compute deformation invariants associated to a fixed […]

Mathematical Physics and Algebraic Geometry Seminar Speaker: Zichang Wang (Tsinghua University) Title: Stochastic Process and Noncommutative Geometry Abstract: We explain a stochastic approach to topological field theory and present a case study of quantum mechanical model and its relation to noncommutative geometry. For detail reference, see https://arxiv.org/abs/2501.12360    

Mathematical Physics and Algebraic Geometry Seminar Speaker: Wenjun Niu, Perimeter Institute Title: Quantum algebras and R-matrices from the equivariant affine Grassmannians Abstract: In this talk, I will explain my joint work with R. Abedin, in which we construct, for each Lie algebra g, a Hopf algebra and a spectral R-matrix satisfying quantum Yang-Baxter equation. This […]

Mathematical Physics and Algebraic Geometry Seminar Speaker: Damian Van de Heisteeg, Harvard CMSA Title: The Structure of the Flux Landscape Abstract: Identifying flux vacua in string theory with stabilized complex structure moduli presents a significant challenge, necessitating the minimization of a scalar potential complicated by infinitely many exponential corrections. In order to obtain exact results we […]

Mathematical Physics and Algebraic Geometry Seminar Speaker: Simone Noja (Heidelberg University) Title: The geometry of pure spinor superfield formalism Abstract: In this talk I will present a mathematical perspective on the pure spinor superfield formalism. In particular, I will discuss how field multiplets in supersymmetric theories can be constructed mathematically from geometric data associated with certain […]