Giancarlo Urzúa, Wormholes: MMP, Topology, Continued Fractions

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     Speaker Giancarlo Urzúa Pontificia Universidad Catolica de Chile We defined wormholes in https://arxiv.org/abs/2102.02177 (joint with Nicolás Vilches). Conjecturally it is a way to non-continuous travel in the KSBA compactification of the moduli space of surfaces of general type. It depends on a particular MMP. In that paper, we verified the conjecture in several

Seminars on Algebraic Surfaces and Related Topics

B236-1 IBS, Korea, Republic of

     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

Giancarlo Urzua, N-resolutions

B236-1 IBS, Korea, Republic of

     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

Giancarlo Urzua, The Birational Geometry of Markov Numbers

B236-1 IBS, Korea, Republic of

    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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