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6 events,
Seminars on Algebraic Surfaces and Related Topics
Schedule Feb. 27 N-resolutions Giancarlo Urzua (UC Chille) 13:30-14:20 Smooth Projective Surfaces with Pseudo-effective Tangent Bundles Guolei Zhong (IBS-CCG) 14:40-15:30 Nodal Surfaces and Cubic Discriminants Yonghwa Cho (IBS-CCG) 15:50-16:40 Lagrangian Fibration Structure on the Cotangent Bundle of a Del Pezzo Surface of Degree 4 Hosung Kim (IBS-CCG) 17:00-17:50 Dinner 18:20-20:00 Feb. 28 Deformations …
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Giancarlo Urzua, N-resolutions
Giancarlo Urzua, N-resolutions
Speaker Giancarlo Urzua UC Chille (This is a part of Seminars on Algebraic Surfaces and Related Topics.) I will introduce N-resolutions, which are the negative analog of the Kollár--Shepherd-Barron (1988) P-resolutions of a 2-dimensional cyclic quotient singularity. (We instead work with the corresponding M-resolutions of Benkhe-Christophersen (1994).) I will start by describing an …
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Guolei Zhong, Smooth Projective Surfaces with Pseudo-effective Tangent Bundles
Guolei Zhong, Smooth Projective Surfaces with Pseudo-effective Tangent Bundles
Speaker Guolei Zhong IBS CCG (This is a part of Seminars on Algebraic Surfaces and Related Topics.) A vector bundle over a projective manifold is said to be pseudo-effective if the tautological line bundle of its Grothendieck projectivization is pseudo-effective. In this talk, I will show that a smooth non-uniruled projective surface S …
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Yonghwa Cho, Nodal Surfaces and Cubic Discriminants
Yonghwa Cho, Nodal Surfaces and Cubic Discriminants
Speaker Yonghwa Cho IBS CCG (This is a part of Seminars on Algebraic Surfaces and Related Topics.) In this talk, I will explain how to associate a nodal surface in P3 with a cubic hypersurface, generalizing the method by Togliatti who constructed quintics with 31 nodes via a discriminant of a nodal cubic …
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Dongsoo Shin, Deformations of Sandwiched Surface Singularities and the Minimal Model Program
Dongsoo Shin, Deformations of Sandwiched Surface Singularities and the Minimal Model Program
Speaker Dongsoo Shin Chungnam National U. (This is a part of Seminars on Algebraic Surfaces and Related Topics.) We investigate the correspondence between three theories of deformations of rational surface singularities: de Jong and van Straten's picture deformations, Kollár's P-resolutions, and Pinkham's smoothings of negative weights. We provide an explicit method for obtaining, …
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JongHae Keum, Mori Dream Surfaces of General Type with pg=0
JongHae Keum, Mori Dream Surfaces of General Type with pg=0
Speaker JongHae Keum KIAS (This is a part of Seminars on Algebraic Surfaces and Related Topics.) The Cox ring of a variety is the total coordinate ring, i.e., the direct sum of all spaces of global sections of all divisors. When this ring is finitely generated, the variety is called Mori dream (MD). …
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Yunhyung Cho, Monotone Lagrangian Tori in Fano Varieties
Yunhyung Cho, Monotone Lagrangian Tori in Fano Varieties
Speaker Yunhyung Cho Sungkyunkwan University This is a survey talk of current progress of mirror symmetry of Fano varieties. For a given smooth Fano variety X, it has been conjectured that there exists a Laurent polynomial called a (weak) Landau-Ginzburg mirror (or weak LG mirror shortly) which encodes a quantum cohomology ring structure …
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Donghoon Jang, Circle Actions on Almost Complex Manifolds with Isolated Fixed Points
Donghoon Jang, Circle Actions on Almost Complex Manifolds with Isolated Fixed Points
Speaker Donghoon Jang Pusan National University We briefly review group actions on manifolds and equivariant cohomology, which is cohomology of a manifold with a group action. We review classification results for circle actions on various types of manifolds in low dimensions. An almost complex manifold is a manifold with a complex structure on …
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Insong Choe, Subsheaves of Maximal Rank in a Symplectic and Orthogonal Bundle over a Curve
Insong Choe, Subsheaves of Maximal Rank in a Symplectic and Orthogonal Bundle over a Curve
Speaker Insong Choe Kunkuk University We first review the known results on the Quot schemes on a smooth algebraic curve. Next we explain how they can be generalized to the Lagrangian Quot scheme, which parametrizes Lagrangian subsheaves on a symplectic vector bundle. Also we discuss the parallel results for orthogonal bundles. This will …