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CMSA Algebraic Geometry in String Theory 02.24.2023

On the convexity of general inverse $\sigma_k$ equations and some applications

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Algebraic Geometry in String Theory Seminar Speaker: Chao-Ming Lin (University of California, Irvine) Title: On the convexity of general inverse $\sigma_k$ equations and some applications Abstract: In this talk, I will show my recent work on general inverse $\sigma_k$ equations and the deformed Hermitian-Yang-Mills equation (hereinafter the dHYM equation). First, I will show my recent […]

CMSA AGST Seminar 04.03.2023

Kähler-Einstein metrics on families of Fano varieties

Virtual

Algebraic Geometry in String Theory Seminar Speaker: Chung-Ming Pan, Institut de Mathématiques de Toulouse Title: Kähler-Einstein metrics on families of Fano varieties Abstract: This talk aims to introduce a pluripotential approach to study uniform a priori estimates of Kähler-Einstein (KE) metrics on families of Fano varieties. I will first recall basic tools in the pluripotential theory […]

Modular graph forms and iterated integrals in string amplitudes

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Algebraic Geometry in String Theory Seminar Speaker: Oliver Schlotterer (Uppsala University) Title: Modular graph forms and iterated integrals in string amplitudes Abstract: I will discuss string amplitudes as a laboratory for special functions and period integrals that drive fruitful cross-talk with particle physicists and mathematicians. At genus zero, integration over punctures on a disk or […]

Species Scale across String Moduli Spaces

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Algebraic Geometry in String Theory Seminar Pre-talk Speaker: David Wu (Harvard Physics): 10:00-10:30 am Speaker: Damian van de Heisteeg, CMSA Title: Species Scale across String Moduli Spaces Abstract: String theories feature a wide array of moduli spaces. We propose that the energy cutoff scale of these theories – the so-called species scale – can be determined […]

Motivic decomposition of moduli space from brane dynamics

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Algebraic Geometry in String Theory Seminar Pre-talk Speaker: Kai Xu (CMSA): 10:00-10:30 am Speaker: Kai Xu (CMSA) Title: Motivic decomposition of moduli space from brane dynamics Abstract: Supersymmetric gauge theories encode deep structures in algebraic geometry, and geometric engineering gives a powerful way to understand the underlying structures by string/M theory. In this talk we will see […]

Moduli of boundary polarized Calabi-Yau pairs

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Algebraic Geometry in String Theory Seminar Pre-talk Speaker: Rosie Shen (Harvard): 10:00-10:30 am Pre-talk Title: Introduction to the singularities of the MMP Speaker: Dori Bejleri (Harvard Math & CMSA) Title: Moduli of boundary polarized Calabi-Yau pairs Abstract: The theories of KSBA stability and K-stability furnish compact moduli spaces of general type pairs and Fano pairs […]

Gauged Linear Sigma Models and Cohomological Field Theories

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Algebraic Geometry in String Theory Seminar Speaker: David Favero, University of Minnesota Title: Gauged Linear Sigma Models and Cohomological Field Theories Abstract: This talk is dedicated to the memory of my friend and collaborator Bumsig Kim and based on joint work with Ciocan-Fontanine-Guere-Kim-Shoemaker.  Gauged Linear Sigma Models (GLSMs)  serve as a means of interpolating between […]

Deformations of Landau-Ginzburg models and their fibers

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Algebraic Geometry in String Theory Seminar Speaker: Andrew Harder, Lehigh University Title: Deformations of Landau-Ginzburg models and their fibers Abstract: In mirror symmetry, the dual object to a Fano variety is a Landau-Ginzburg model. Broadly, a Landau-Ginzburg model is quasi-projective variety Y with a superpotential function w, but not all such pairs correspond to Fano varieties […]

Stacky small resolutions of determinantal octic double solids and noncommutative Gopakumar-Vafa invariants

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Algebraic Geometry in String Theory Seminar Speaker: Sheldon Katz, UIUC Title: Stacky small resolutions of determinantal octic double solids and noncommutative Gopakumar-Vafa invariants Abstract:  A determinantal octic double solid is the double cover X of P^3 branched along the degree 8 determinant of a symmetric matrix of homogeneous forms on P^3.  These X are nodal […]

A p-adic Laplacian on the Tate curve

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Algebraic Geometry in String Theory Seminar Speaker: An Huang (Brandeis) Pre-talk Speaker: TBA: 10:00-10:30 am Title: A p-adic Laplacian on the Tate curve Abstract: We shall first explain the relation between a family of deformations of genus zero p-adic string worldsheet action and Tate's thesis. We then propose a genus one p-adic string worldsheet action. […]

CM-minimizers and standard models of Fano fibrations over curves

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Algebraic Geometry in String Theory Seminar Speaker: Maksym Fedorchuk (Boston College) Title: CM-minimizers and standard models of Fano fibrations over curves Abstract: A recent achievement in K-stability of Fano varieties is an algebro-geometric construction of a projective moduli space of K-polystable Fanos. The ample line bundle on this moduli space is the CM line bundle […]

M-theory on nodal Calabi-Yau 3-folds and torsion refined GV-invariants

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

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 […]