Workshop on Fibration and Degeneration in Calabi-Yau Geometry Dates: June 24-26, 2024 Location: Harvard CMSA, 20 Garden Street, Cambridge, MA 02138 Organizer: Chuck Doran, Harvard CMSA Calabi-Yau manifolds occupy a central place in geometry. Their critical role as the cut-case between basic Fano building blocks and the zoo of General Type manifolds is key to […]
Mathematical Physics and Algebraic Geometry Speaker: Justin Kulp (Simons Center for Geometry and Physics) Title: Twisted Tools for (Untwisted) Quantum Field Theory Abstract: One of the most important properties of QFTs is that they can be deformed by "turning on interactions." Essentially every observable can be viewed as coupling the theory to some external system. Famously, adding […]
Mathematical Physics and Algebraic Geometry Seminar Speaker: Minghao Wang (Boston University) Title: Feynman graph integrals from topological holomorphic theories Abstract: Feynman graph integrals from topological theories were developed by M. Kontsevich, S. Axelrod and I. M. Singer in 1990s. These integrals have many mathematical applications, such as knot invariants, operad theory and formality theorems. In […]
Mathematical Physics and Algebraic Geometry Speaker: Junrong Yan (Northeastern University) Title: Witten deformation for non-Morse functions and gluing formulas Abstract: Witten deformation is a versatile tool with numerous applications in mathematical physics and geometry. In this talk, we will focus on the analysis of Witten deformation for a family of non-Morse functions, which leads to […]
Mathematical Physics and Algebraic Geometry Seminar Speaker: Chuck Doran, Harvard CMSA Title: Enumerative geometry and modularity in two-modulus K3-fibered Calabi-Yau threefolds Abstract: Smooth $M_m$-polarized K3-fibered Calabi-Yau (CY) 3-folds have been classified in terms of the choice of a generalized functional invariant and, in the case $m=1$, a generalized homological invariant. The resulting geometries generally exhibit […]