BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Victor Batyrev (Universität Tübingen) DTSTART:20210603T141500Z DTEND:20210603T160000Z DTSTAMP:20260422T070031Z UID:CJCS/17 DESCRIPTION:Title: Co mbinatorics of lattice polytopes and MMP\nby Victor Batyrev (Universit ät Tübingen) as part of Copenhagen-Jerusalem Combinatorics Seminar\n\n\n Abstract\nThe Minimal Model Program (MMP) was born in 80-ties from attempt s to extend classical results on the birational classification of algebra ic surfaces to algebraic varieties of dimension >2. The problem of birat ional classification of higher dimensional algebraic varieties is so dif ficult that its complete solution is not even expected. However\, a signi ficant progress in understanding this \nproblem can be achieved if one re stricts attention to some special and simultaneously sufficiently rich cl ass of algebraic varieties under consideration.\n\nThe talk suggests to lo ok at the class of algebraic varieties that are birational to non-degenera te hypersurfaces Z in an algebraic torus T. It turns out that this class is sufficiently rich to illustrate \nmany important ideas of MMP using c ombinatorial properties of the Newton polytope P of the defining equation of Z. The purpose of the talk is to explain the interplay between the com binatorics of lattice polytopes and MMP which benefits from studing its “combinatorial shadows”.\n LOCATION:https://researchseminars.org/talk/CJCS/17/ END:VEVENT END:VCALENDAR