Algebraic Geometry in String Theory Seminar Speaker: Brian Lehmann (Boston College) Title: Classifying curves on Fano varieties Abstract: How can we understand the set of curves on a Fano variety? One perspective is provided by Geometric Manin's Conjecture, a collection of conjectures with roots in arithmetic and topology. While I will mention some recent progress, the main […]
CMSA Member Seminar Speaker: Tomer Ezra (Harvard CMSA) Title: Contract Design in Combinatorial Settings Abstract: We study two combinatorial settings of the contract design problem, in which a principal wants to delegate the execution of a costly task. In the first setting, the principal delegates the task to an agent that can take any subset of a […]
Algebraic Geometry in String Theory Seminar Speaker: Jesse Huang, University of Alberta Title: Geometric construction of toric NCRs Abstract: The Rouquier dimension of a toric variety is recently shown to be achieved by the Frobenius pushforward of O via coherent-constructible correspondence. From the perspective of noncommutative geometry, this result leads to a geometric construction of toric NCR […]
CMSA Member Seminar Speaker: Dan Freed (Harvard Mathematics and CMSA) Title: Symmetry in quantum field theory Abstract: In joint work with Greg Moore and Constantin Teleman we show how ideas and techniques in topological field theory apply to the study of symmetry in quantum field theory. I will discuss how this came about, beginning with […]
Algebraic Geometry in String Theory Seminar Speaker: Pierrick Bousseau, University of Georgia Title: The KSBA moduli space of log Calabi-Yau surfaces Abstract: The KSBA moduli space, introduced by Kollár--Shepherd-Barron, and Alexeev, is a natural generalization of "the moduli space of stable curves" to higher dimensions. It parametrizes stable pairs (X,B), where X is a projective algebraic […]
CMSA Member Seminar Speaker: Chuck Doran (Harvard CMSA) Title: Modularity and Fibrations in Mirror Symmetry Abstract: We will introduce appearances of modularity in the study both of families of Calabi-Yau threefolds and of their enumerative invariants. An important role is played by the structure of fibrations and the DHT fibration-degeneration mirror correspondence, which clarifies how these notions […]
Algebraic Geometry in String Theory Seminar Speaker: Jonathan Rosenberg, University of Maryland Title: Derived categories of genus one curves and torsors over abelian varieties Abstract: Studying orientifold string theories on elliptic curves or abelian varieties motivates studying the derived category of coherent sheaves on a genus one curve or a torsor over an abelian variety over the […]
CMSA Member Seminar Speaker: Farzan Vafa Title: Phase diagram and confining strings in a minimal model of nematopolar matter Abstract: We investigate a minimal model of a nematopolar system. We analytically uncover a phase diagram consisting of a locked phase where the polar order and nematic order are locked, and unlocked phases which could be […]
Algebraic Geometry in String Theory Seminar Speaker: Alan Thompson (Loughborough University) Title: Mirror symmetry for fibrations and degenerations of K3 surfaces Abstract: In 2016, Doran, Harder, and I conjectured a mirror symmetric relationship between Tyurin degenerations and splittings of codimension 1 fibrations on Calabi-Yau manifolds. In this talk I will discuss recent work to make this […]
CMSA Member Seminar Speaker: Puskar Mondal Title: Global weak solutions of 3+1 dimensional vacuum Einstein equations Abstract: It is important to understand if the `solutions' of non-linear evolutionary PDEs persist for all time or become extinct in finite time through the blow-up of invariant entities. Now the question of this global existence or finite time […]
Algebraic Geometry in String Theory Seminar Speaker: Aaron Landesman, MIT Title: Geometric local systems on very general curves Abstract: What is the smallest genus h of a non-isotrivial curve over the generic genus g curve? In joint work with Daniel Litt, we show h is more than $\sqrt{g}$ by proving amore general result about variations of […]
CMSA Member Seminar Speaker: Sunghyuk Park, Harvard CMSA Title: 3D quantum trace map Abstract: I will speak about my recent work (joint with Sam Panitch) constructing the 3d quantum trace map, a homomorphism from the Kauffman bracket skein module of an ideally triangulated 3-manifold to its (square root) quantum gluing module, thereby giving a precise relationship […]