Charles Doran

Algebraic Geometry in String Theory Seminar Speaker: Thorsten Schimannek (Utrecht University) Title: M-theory on nodal Calabi-Yau 3-folds and torsion refined GV-invariants Abstract: The physics of M-theory and Type IIA strings on a projective nodal CY 3-folds is determined by the geometry of a small resolution, even if the latter is not Kähler. We will demonstrate this […]

Algebraic Geometry in String Theory Seminar Speaker: Max Weinreich (Harvard) Title: Algebraic billiards and dynamical degrees Abstract: Billiards is one of the most-studied dynamical systems, modeling the behavior of a point particle bouncing around some space. If the space is a plane region bounded by an algebraic curve, then we may use techniques from algebraic geometry […]

Algebraic Geometry in String Theory Seminar Speaker: Yan Zhou, Northeastern Title: Geometric origins of values of the Riemann Zeta functions at positive integers Abstract: Given a Fano manifold, Iritani proposed that the asymptotic behavior of solutions to the quantum differential equation of the Fano should be given by the so-called ‘Gamma class’ in its cohomology ring. […]

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 […]

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 […]

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 […]

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 […]

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 […]

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 […]

Algebraic Geometry in String Theory Seminar Speaker: Alessandro Chiodo, IMJ-Paris Rive Gauche (Jussieu) Title: The logarithmic double ramification locus Abstract: Given a family of smooth curves C -> S with a line bundle L on C, it is natural to study the locus of points x in S where L_x is trivial on C_x. When the family […]