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DTSTART:20210101T000000
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DTSTART;TZID=Asia/Seoul:20220412T110000
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SUMMARY:Keiji Oguiso\, On Kawaguchi-Silverman Conjecture for Birational Automorphisms of Irregular Threefolds
DESCRIPTION:     Speaker\n\n\nKeiji Oguiso\nUniv. of Tokyo\n\n\n\n\n\n\nThis is a joint work in progress with Professors Jungkai-Alfred Chen and Hsueh-Yung Lin. \nWe study the main open parts of Kawaguchi-Silverman Conjecture (KSC)\, asserting that for a birational self-map f of a smooth projective variety X defined over K\, the arithmetic degree αf(x) exists and coincides with the first dynamical degree δf for any K-point x of X with a well-defined Zariski dense f-orbit. Here K is an algebraic closure of the field of rational numbers. To make KSC meaningful\, it is also important to study existence of K-point with Zariski dense f-orbit. \nIn this talk\, after a brief introduction of KSC with known results and some difficulties for non-morphism case\, I would like to explain our new progress on KSC and Zariski dense orbit problem especially for irregular threefolds. Our approach is geometric while problems are of arithmetic nature.
URL:https://ccg.ibs.re.kr/event/2022-04-12/
LOCATION:on-line
CATEGORIES:Algebraic Geometry Seminar
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