Moduli Theory and Singularities

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Date: 6/28/24
Speaker :Kovács Sándor

AGDT Seminar

Seminars

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    Abstract: The construction of compact moduli spaces of higher dimensional varieties has been an open problem for a long time. It was finally completed about 2 years ago, mainly due to the work of János Kollár, but also utilizing the work of many other researchers. Kollár's work on the topic eclipsed more than 3 decades and included many obstacles along the way. 
    I will talk about the main challenges presented by this problem and their solutions. Time permitting I will also mention a result, joined with Kollár, in which we prove that the conditions of KSB/A stability need only be checked in codimension 2 and the rest is automatic. 

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