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Speaker: Thorsten SchimannekTitle:Venue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: Thorsten Schimannek, CNRS-Sorbonne Universite Pre-talk Speaker: TBA: 10:00-10:30 am |
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Speaker:Title:Venue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: TBA Pre-talk Speaker: TBA: 10:00-10:30 am |
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Speaker:Title:Venue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: TBA Pre-talk Speaker: TBA: 10:00-10:30 am |
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Speaker: Sheldon KatzTitle:Venue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: Sheldon Katz, UIUC Pre-talk Speaker: TBA: 10:00-10:30 am |
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Speaker: Andrew HarderTitle:Venue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: Andrew Harder, Lehigh University Pre-talk Speaker: TBA: 10:00-10:30 am |
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Speaker:Title:Venue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: TBA Pre-talk Speaker: TBA: 10:00-10:30 am |
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Speaker:Title:Venue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: TBA Pre-talk Speaker: TBA: 10:00-10:30 am |
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Speaker:Title:Venue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: TBA Pre-talk Speaker: TBA: 10:00-10:30 am |
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Speaker: David FaveroTitle:Venue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: David Favero, University of Minnesota Pre-talk Speaker: TBA: 10:00-10:30 am |
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Speaker: Dori BejleriTitle: Moduli of boundary polarized Calabi-Yau pairsVenue: CMSA Room G10Algebraic 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 respectively. However, much less is known about the moduli theory of Calabi-Yau pairs. In this talk I will present an approach to constructing a moduli space of Calabi-Yau pairs which should interpolate between KSBA and K-stable moduli via wall-crossing. I will explain how this approach can be used to construct projective moduli spaces of plane curve pairs. This is based on joint work… |
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Speaker: Kai XuTitle:Venue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: Kai Xu, CMSA Pre-talk Speaker: TBA: 10:00-10:30 am |
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Speaker: Damian van de HeisteegTitle: Species Scale across String Moduli SpacesVenue: CMSA Room G10Algebraic 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 through higher-curvature corrections. This species scale varies with the moduli; we use it both asymptotically to bound the diameter of the field space, as well as in the interior to determine a “desert point” where it is maximized. |
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Speaker: Oliver SchlottererTitle: Modular graph forms and iterated integrals in string amplitudesVenue: CMSA Room G10Algebraic 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 sphere worldsheet generates multiple zeta values in the low-energy expansion of open- and closed-string amplitudes. At genus one, closed-string amplitudes introduce infinite families of non-holomorphic modular forms through the integration over torus punctures known as modular graph forms. The latter inspired Francis Brown’s alternative construction of non-holomorphic modular forms in the mathematics literature via iterated integrals, and I will report on recent progress… |
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Speaker: Chung-Ming PanTitle: Kähler-Einstein metrics on families of Fano varietiesVenue: CMSA Room G02Algebraic 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 and the variational approach to complex Monge-Ampère equations. I will then define a notion of convergence of quasi-plurisubharmonic functions in families of normal varieties and extend several classical properties under this context. Last, I will explain how these elements help to obtain a purely analytic proof of the openness of existing singular KE metrics and a uniform $L^\infty$ estimate of KE potentials. This… |
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Speaker: Chao-Ming LinTitle: On the convexity of general inverse $\sigma_k$ equations and some applicationsVenue: CMSA Room G10Algebraic 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 results. This result states that if a level set of a general inverse $\sigma_k$ equation (after translation if needed) is contained in the positive orthant, then this level set is convex. As an application, this result justifies the convexity of the Monge-Ampère equation, the J-equation, the dHYM equation, the special Lagrangian equation, etc. Second, I will introduce some semialgebraic sets and a special… |
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Speaker: Ahsan KhanTitle: 2-Categories and the Massive 3d A-ModelVenue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: Ahsan Khan, IAS Title: 2-Categories and the Massive 3d A-Model Abstract: I will outline the construction of a 2-category associated to a hyperKahler moment map. The construction is based on partial differential equations in one, two, and three dimensions combined with a three-dimensional version of the Gaiotto-Moore-Witten web formalism. |
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Speaker: Nicolo PiazzalungaTitle: The index of M-theoryVenue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: Nicolo Piazzalunga, Rutgers Title: The index of M-theory Abstract: I’ll introduce the higher-rank Donaldson-Thomas theory for toric Calabi-Yau threefolds, within the setting of equivariant K-theory. I’ll present a factorization conjecture motivated by Physics. As a byproduct, I’ll discuss some novel properties of equivariant volumes, as well as their generalizations to the genus-zero Gromov-Witten theory of non-compact toric varieties. |
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Speaker: Daniel PomerleanoTitle: Singularities of the quantum connection on a Fano varietyVenue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: Daniel Pomerleano, UMass Boston Title: Singularities of the quantum connection on a Fano variety Abstract: The small quantum connection on a Fano variety is one of the simplest objects in enumerative geometry. Nevertheless, it is the subject of far-reaching conjectures known as the Dubrovin/Gamma conjectures. Traditionally, these conjectures are made for manifolds with semi-simple quantum cohomology or more generally for Fano manifolds whose quantum connection is of unramified exponential type at q=\infty. I will explain a program, joint with Paul Seidel, to show that this unramified exponential type property holds for all Fano manifolds M carrying a smooth anticanonical divisor D. The basic idea of our argument is to view these structures through… |
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Speaker: Sam Bardwell-EvansTitle: Scattering Diagrams from Holomorphic Discs in Log Calabi-Yau SurfacesVenue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: Sam Bardwell-Evans, Boston University Title: Scattering Diagrams from Holomorphic Discs in Log Calabi-Yau Surfaces Abstract: In this talk, we construct special Lagrangian fibrations for log Calabi-Yau surfaces and scattering diagrams from Lagrangian Floer theory of the fibers. These scattering diagrams recover the algebro-geometric scattering diagrams of Gross-Pandharipande-Siebert and Gross-Hacking-Keel. The argument relies on a holomorphic/tropical disc correspondence to control the behavior of holomorphic discs, allowing us to relate open Gromov-Witten invariants to log Gromov-Witten invariants. This talk is based on joint work with Man-Wai Mandy Cheung, Hansol Hong, and Yu-Shen Lin. |
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Speaker: Mauricio RomoTitle: GLSM, Homological projective duality and nc resolutionsVenue: CMSA Room G10Algebraic Geometry in String Theory Seminar Speaker: Mauricio Romo, Tsinghua University Title: GLSM, Homological projective duality and nc resolutions Abstract: Kuznetsov’s Homological projective duality (HPD) in algebraic geometry is a powerful theorem that allows to extract information about semiorthogonal decompositions of derived categories of certain varieties. I will give a GLSMs perspective based on categories of B-branes. I will focus mostly on the case of Fano (hypersurfaces) manifolds. In general, for such cases the HPD can be interpreted as a non-commutative (nc) resolution of a compact variety. I will give a physical interpretation of this fact and present some conjectures. |