Ching-Jui Lai, Anticanonical Volume of Singular Fano Threefolds

B236-1 IBS, Korea, Republic of

    Speaker Ching-Jui Lai National Cheung Kung University The set of canonical Fano threefolds form a bounded family by results of Kawamata, Mori-Miyaoka-Kollar-Tagaki, and in a much more general setting by Birkar. In particular, the anticaonical volume -KX3 is bounded. An optimal lower bound is 1/330 by the work of Chen-Chen. In this talk,

Workshop on Algebraic Geometry in Busan

La Valse Hotel Busan, Korea, Republic of

Speakers Lorenzo Barban (IBS-CCG) Jungkai Chen (National Taiwan University) Toshiyuki Katsura (University of Tokyo) Shigeyuki Kondo (Nagoya University) Ching-Jui Lai (National Cheung Kung University) Donggun Lee (IBS-CCG) Hsueh-Yung Lin (National Taiwan University) Shigeru Mukai (Kyoto University) Keiji Oguiso (University of Tokyo) Abstracts PDF file Schedule May 14 (Tuesday) 14:00~14:20 Registration 14:20~15:20 Oguiso 15:40~16:40 Lai 17:00~18:00

Jungkai Chen, Threefold Divisorial Contraction to Curves

B236-1 IBS, Korea, Republic of

    Speaker Jungkai Chen National Taiwan University The minimal model program works pretty well in dimension three. However, the explicit classification of divisorial contractions to points was completed quite recently thanks to the work of Kawamata, Hayakawa, Kawakita and more. In this talk, we are going to describe threefold divisorial contractions to curves. We

Sung Rak Choi, Adjoint Asymptotic Multiplier Ideal Sheaves

B236-1 IBS, Korea, Republic of

    Speaker Sung Rak Choi Yonsei University In this talk, we define and study a triple called a potential triple which consists of a pair (X, Δ) and a polarizing pseudoeffective divisor D. To such a triple, we define a so-called potential multiplier ideal sheaf which gives a simultaneous generalization of the multiplier ideal

Minyoung Jeon, Prym-Brill-Noether Loci and Prym-Petri Theorem

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Zoom ID: 880 6763 5837 PW: 312515     Speaker Minyoung Jeon University of Georgia Prym varieties are abelian varieties constructed from etale double covers of algebraic curves. In 1985, Welters equipped Prym varieties with Brill-Noether loci. In this talk, we will describe the Prym-Brill-Noether loci with special vanishing at up to two marked points

Eric Sommers, Some Slodowy Slices Associated to Special Nilpotent Orbits

B236-1 IBS, Korea, Republic of

    Speaker Eric Sommers University of Massachusetts Among the nilpotent orbits in a simple Lie algebra are the special nilpotent orbits, which play an important role in representation theory. Some of the geometry of the closure of a nilpotent orbit can be understood by taking a transverse slice to a smaller orbit in the

Cheol Hyun Cho, Floer Theory for the Variation Operator of an Isolated Singularity

B236-1 IBS, Korea, Republic of

    Speaker Cheol Hyun Cho Seoul National University The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analogue for an isolated singularity. We define a new Floer cohomology, called monodromy Lagrangian Floer cohomology, which provides categorifications of the standard

Myeongjae Lee, Connected Components of the Strata of Residueless Meromorphic Differentials

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Zoom ID: 880 6763 5837 PW: 312515     Speaker Myeongjae Lee Stony Brook University Strata of differentials are interesting objects studied in various fields such as Teichmuller dynamics, topology and algebraic geometry. Generalized strata are subsets of the strata of meromorphic differentials, where certain sets of residues summing up to zero. We present the

Kisun Lee, Introduction to Numerical Algebraic Geometry

B236-1 IBS, Korea, Republic of

    Speaker Kisun Lee Clemson University Numerical algebraic geometry employs numerical techniques for problems in algebraic geometry. This talk begins with a question reminding the meaning of solving a (polynomial) equation. It overviews the homotopy continuation as a method for finding solutions to a system of polynomial equations. After problems from algorithmic and application

Kisun Lee, Numerical Certification and Certified Homotopy Tracking

B236-1 IBS, Korea, Republic of

    Speaker Kisun Lee Clemson University A certified algorithm produces a solution and a certificate of correctness to a problem. Numerical certification studies certified algorithms for results obtained from numerical methods in algebraic geometry. In this talk, we discuss why numerical certification is needed in numerical algebraic geometry and introduce the Krawczyk homotopy as

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