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Speaker: 陈传强（宁波大学） Abstract: The convexity of solutions to elliptic partial differential equations is an important issue. In this talk, we establish some strict power convexity results for fully nonlinear PDEs in dimension two by the Constant Rank Theorem method, which is a joint work with Haohao Jia and Jiawei Xiong. Time: 15:00-16:00, Fri., June 21, 2024 Location: Floor …

SIMIS Seminar on Geometric Analysis and PDEs: Strict power convexity of solutions to elliptic Partial Differential Equations Read More »

Tailin Wu (Westlake University) 3:30 p.m., Wed., Jun. 19, 2024Zoom Meeting No.: 851 8363 2572 (Password: 680769)

Yue M. Lu (Harvard University) 9 a.m., Wed., Jun. 19, 2024Zoom Meeting No.: 817 9258 2718 (Password: 600510)

Speaker: Jirui Guo (Tongji University) Abstract: B-branes are the boundary conditions of gauged linear sigma models (GLSM) compatible with B-type topological twist. Their categorical structure provides a powerful tool in analysing the phases of the GLSMs. A transport of the brane from one phase to another realizes an explicit faithful functor between the two phases. …

SIMIS Seminar on Field Theory and String Theory: B-brane transport in nonabelian GLSMs and its applications Read More »

Speaker: DE-QI ZHANG (NUS) Abstract: In the first 60 min of the 2h lecture (for year-one graduates), we introduce the projective variety, affine variety, morphisms between varieties, and the Néron-Severi group. In the second half of the lecture (for year-two onwards graduates), we introduce the Kawaguchi-Silverman conjecture (KSC) about the equivalence of dynamical degree and …

Symmetries Of Algebraic Manifolds Read More »

Speaker: Xin Gao (Sichuan University) Abstract: We systematically constructed orientifold Calabi-Yau threefolds, encompassing both divisor exchange and multiple divisor reflection involutions. Expanding our classification, we reached h^{1,1}(X)=12 using a database from the Kreuzer-Skarke list. We identified 156,509 proper divisor exchange involutions, and explored over 1 billion reflection types. Under these involutions, we clarified some ambiguities …

SIMIS Seminar on Field Theory and String Theory: Orientifold Calabi-Yau threefolds: divisor exchanges and reflections Read More »