Naoto Yotsutani (Kagawa University)
Naoto Yotsutani Visitor (2024.10.26-2024.10.29) from Kagawa University Office: -
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Calendar of Events
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Naoto Yotsutani, Bott Manifolds with the Strong Calabi Dream Structure
Naoto Yotsutani, Bott Manifolds with the Strong Calabi Dream Structure
Speaker Naoto Yotsutani Kagawa university We prove that if the Futaki invariant of a polarized Bott manifold (X, L) for any ample line bundle L vanishes, then X is isomorphic to the products of the projective lines. This talk is based on a work joint with Kento Fujita (algebro-geometrical approach), and another independent …
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Giancarlo Urzua (Pontificia Universidad Catolica de Chile)
Giancarlo Urzua Visitor (2024.11.8-2024.11.13) from Pontificia Universidad Catolica de Chile Office: -
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Giancarlo Urzua, The Birational Geometry of Markov Numbers
Giancarlo Urzua, The Birational Geometry of Markov Numbers
Speaker Giancarlo Urzua Pontificia Universidad Catolica de Chile The projective plane is rigid. However, it may degenerate to surfaces with quotient singularities. After the work of Bădescu and Manetti, Hacking and Prokhorov 2010 classified these degenerations completely. They are Q-Gorenstein partial smoothings of P(a2, b2, c2), where a, b, c satisfy the Markov …
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Izzet Coskun, The Geometry of Moduli Spaces of Sheaves on P2
Izzet Coskun, The Geometry of Moduli Spaces of Sheaves on P2
Speaker Izzet Coskun University of Illinois Chicago In this talk, I will explain how to use Bridgeland stability conditions to compute the ample and effective cones of moduli spaces of sheaves on the projective plane. I will describe the birational geometry of these moduli spaces and give applications to the higher rank interpolation …
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Izzet Coskun, The Higher Rank Brill-Noether Problem on Surfaces
Izzet Coskun, The Higher Rank Brill-Noether Problem on Surfaces
Speaker Izzet Coskun University of Illinois Chicago In this talk, I will explain how to use Bridgeland stability conditions to compute the cohomology of a general stable sheaf on a K3 or abelian surface. This talk is based on joint work with Howard Nuer and Kota Yoshioka.