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Explore logarithmic geometry and its applications in mirror symmetry, focusing on the development of a logarithmic Hilbert scheme and its implications for degenerations and tropical mathematics.
Exploring generalized root systems of type D, constructing Frobenius manifolds, and examining their potential applications in algebraic geometry and mathematical physics.
Explore homological mirror symmetry and integrable systems through Lax operators, intersection theory, and gauge theory. Delve into Garnier models, Hitchin systems, and quiver gauge theories.
Explore non-Archimedean holomorphic disks in affine log Calabi-Yau varieties, covering boundary conditions, smoothness, dimension, and properness. Gain insights into non-Archimedean mirror symmetry and related theories.
Tropical geometry approach to homological mirror symmetry of quadrics, exploring new anti-canonical divisor and potential construction. Compares with previous work and discusses exceptional collections.
Explore Hodge theory's global study of period mapping at infinity, including new invariants, moduli space implications, and geometric insights for singular varieties.
Explore the spectral problem of quantum mechanical operators in complex Planck's constant scenarios, focusing on toric Calabi-Yau threefolds and their implications.
Explore moduli space of quantum toric varieties, drawing parallels with geometric recursion. Delve into quantum lattices, tori, and CP1, examining group actions, calibration, and quantum geometric invariant theory.
Explore relative shifted symplectic structures, their pushforward theorem, and applications to Poisson structures on derived moduli of Stokes data, with insights on symplectic leaves and irregular types.
Explore geometric recursion, its relation to topological recursion, and applications in Teichmüller spaces, moduli spaces, and mapping class group invariant functions.
Explore open DT invariants, refined invariance, and boundary conditions in moduli spaces with Sergei Gukov. Delve into generating series, topological vertex, and infinite projects in this advanced mathematics lecture.
Explore microbial communities' complexity, diversity, and ecological significance. Discover insights into early life, species coexistence, and community assembly through interdisciplinary research and advanced modeling techniques.
Explore advanced mathematical concepts in Floer homotopy, including manifold categories, moduli spaces, and K-homology, without relying on spectral theory.
Explore advanced concepts in Donaldson-Thomas theory, including categorifications, refinements, and applications to C^3 and beyond, with a focus on categorical invariants and correspondences.
Explore Lie theory, groupoids, and algebroids in this advanced mathematics seminar. Discover local integration techniques and their implications for non-integrable Lie algebroids.
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