时间：2025年2月26日（星期三）14:00-15:45
地点：E4-233&ZOOM
ZOOM ID: 917 9888 7645
PASSCODE: 598984
主讲人: Francesco Zucconi, University of Udine
主讲人简介：Francesco Zucconi is a full professor at the Department of Mathematics, Computer Sciences, and Physics of the Università di Udine. He graduated in Dipartimento di Matematica dell'Università di Pisa, where he also defended and obtained his PhD.
Prof. Zucconi has many publications in the field of Algebraic Geometry, some of them appeared in prestigious journals. He has visited many academies including: DPMMS (Cambridge UK), Newton Institute (Cambridge UK), Steklov Institute, (Moscow), Max Planck Institute for Mathematics (Bonn), Graduate School of the University of Tokyo, Math. Dep. to the University of Warwick.
讲座主题：Fully integral rational curves and potentially density of the set of S-integral points in Fano 3-folds
讲座摘要: In the first part of the talk, we review the notion of S-integral points in the light of Volta's conjecture. This part is mainly focused on definitions of the basic notions. We point out why to study potential density of integral points in Fano 3-folds, a blind use of Hilbert schemes seems to be of little help in almost all the cases.
In the second part of the seminar, we apply the method of fully integral rational lines to the complement of the 3-dimensional projective space by the union of two quadric whose intersection contains a conic to show that, for this case, the set of integral points is potentially dense. Finally, we show how to obtain analogue results for other Fano 3-folds, by standard use of Mori theory.
