• Mathematical Physics and Algebraic Geometry Seminar

    2d chiral Lagrangian for asymptotic dynamics for 4d (self-dual) Einstein gravity

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

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Wei Bu (Harvard University) Title: 2d chiral Lagrangian for asymptotic dynamics for 4d (self-dual) Einstein gravity Abstract: In this talk, I will present a simple chiral 2d Lagrangian living on a 2d celestial sphere on the null boundary of 4d Minkowski space and briefly mention its first principal […]

  • Mathematical Physics and Algebraic Geometry Seminar

    Physical Yukawa Couplings in Heterotic String Compactifications

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

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Giorgi Butbaia, University of New Hampshire Title: Physical Yukawa Couplings in Heterotic String Compactifications Abstract: Calabi-Yau compactifications of the $E_8\times E_8$ heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model. While the topology of the Calabi-Yau space determines the overall […]

  • Verlinde’s formula in logarithmic conformal field theory

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

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Thomas Creutzig (University of Alberta) Title: Verlinde's formula in logarithmic conformal field theory Abstract: Two-dimensional conformal field theories lead to rich mathematical structure. For example its chiral algebra is a vertex algebra and the axioms of rational conformal field theory define modular tensor categories. A highlight of this development […]

  • Mathematical Physics and Algebraic Geometry Seminar

    From quantum difference equations to Maulik-Okounkov quantum affine algebra

    Virtual

    Mathematical Physics and Algebraic Geometry Seminar *via Zoom only* Speaker: Tianqing Zhu (Tsinghua University) Title: From quantum difference equations to Maulik-Okounkov quantum affine algebra Abstract: Capping operator is one the core subject in the K-theoretic quasimap counting to quiver varieties. It has been shown by Okounkov and Smirnov that it satisfies a system of q-difference […]

  • Mathematical Physics and Algebraic Geometry Seminar

    (Strictly) Non-minimal Elliptic Threefolds and the Distance Conjecture

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

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Rafael Álvarez García (Harvard University) Title: (Strictly) Non-minimal Elliptic Threefolds and the Distance Conjecture Abstract: We analyze infinite-distance limits in the complex structure moduli space of six-dimensional F-theory, providing an algebro-geometric classification and a physical interpretation. From the point of view of the Swampland Program, the motivation is to understand the […]

  • Mathematical Physics and Algebraic Geometry Seminar

    3d Mirror Symmetry is 2d Mirror Symmetry

    Virtual

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Ki Fung Chan (Chinese University of Hong Kong) Title: 3d Mirror Symmetry is 2d Mirror Symmetry Abstract: We introduce an approach to studying 3d mirror symmetry via 2d mirror symmetry. The main observations are: (1) 3d brane transforms are given by SYZ-type transforms; (2) the exchange of symplectic and complex […]

  • Mathematical Physics and Algebraic Geometry Seminar

    Mass gap in AdS space

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

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Ziming Ji, Northeastern University Title: Mass gap in AdS space Abstract: AdS space can be used as an IR regulator of QFT. The asymptotic conformal boundary in AdS space provides rich, unique observables. We study asymptotic free theories in two-dimensional AdS space. By changing the AdS curvature scale \Lambda […]

  • From superspace to twisted supergravity

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

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Fabian Hahner, University of Washington Title: From superspace to twisted supergravity Abstract: In this talk, I will present a geometric perspective on the pure spinor superfield formalism, which proves fruitful for studying twisted supergravity. For eleven-dimensional supergravity, we use this technique to construct the full interacting theory together with […]

  • Residues and homotopy Lie algebras

    Virtual

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Zhenping Gui, Shanghai Institute for Mathematics and Interdisciplinary Sciences Title: Residues and homotopy Lie algebras Abstract: I will introduce the notion of a chiral operad for any compact Riemann surface. This operad consists of compositions of residue operations, which give rise to the Chevalley-Cousin complex and lead to the […]

  • Resurgence, number theory, and quantum mirror curves 

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

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Claudia Rella (IHES) Title: Resurgence, number theory, and quantum mirror curves Abstract: Resurgence provides a powerful toolbox to access the non-perturbative sectors hidden within the divergent asymptotic series of quantum theories. Under some special assumptions, the non-perturbative data extracted via resurgent methods possess intrinsic number-theoretic properties that are deeply […]

  • Higher Gauge Theory and Integrability

    Virtual

    Mathematical Physics and Algebraic Geometry Seminar Speaker: Joaquin Liniado, Instituto de Física La Plata Title: Higher Gauge Theory and Integrability Abstract: Integrable field theories are remarkable for possessing an infinite number of conserved quantities, which often allow for their exact solvability. In two dimensions, this structure is elegantly captured by the existence of a Lax […]

  • Graph integrals on Kahler manifolds

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

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Minghao Wang, Boston University Title: Graph integrals on Kahler manifolds Abstract: I will talk about my recent work with Junrong Yan. We proved the convergence of Graph integrals on analytic Kahler manifolds in the sense of Cauchy principal values, which are originally from holomorphic quantum field theories. […]