BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Algebraic Geometry Seminar//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Algebraic Geometry Seminar - Fall 2018 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20180828T153000-patrick-graf@math.utah.edu DTSTART;TZID=America/Denver:20180828T153000 DTEND;TZID=America/Denver:20180828T163000 DTSTAMP:20260819T205508Z SUMMARY:The Kodaira Problem: Results and Perspectives DESCRIPTION:Speaker: Patrick Graf\, University of Bayreuth\n\nThe Kodaira problem asks whether every compact Kähler manifold can be deformed to a projective one. While Voisin gave counterexamples in 2004, a modified version for non-uniruled spaces remains open, and in fact has been established in dimension at most three by Claudon, Höring, Lin and myself. I … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT BEGIN:VEVENT UID:20180904T153000-harold-blum@math.utah.edu DTSTART;TZID=America/Denver:20180904T153000 DTEND;TZID=America/Denver:20180904T163000 DTSTAMP:20260819T205508Z SUMMARY:Moduli of uniformly K-stable Fano varieties DESCRIPTION:Speaker: Harold Blum\, University of Utah\n\nIn order to have a well behaved moduli functor for Fano varieties, it seems natural to restrict oneself to Fano varieties that are K-polystable. Recall, K-stability is an algebraic notion that characterizes when a smooth Fano variety admits a Kahler-Einstein metric. In this talk, we consider the … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT BEGIN:VEVENT UID:20180918T153000-pablo-solis@math.utah.edu DTSTART;TZID=America/Denver:20180918T153000 DTEND;TZID=America/Denver:20180918T163000 DTSTAMP:20260819T205508Z SUMMARY:Natural Cohomology on P1 x P1 DESCRIPTION:Speaker: Pablo Solis\, Stanford University\n\nI’ll begin with a discussion of the classification of vector bundles on P1 and explain what natural cohomology means in this context. Then I’ll consider the case of vector bundles on P1 x P1. In general vector bundles on surfaces are more complicated but a useful tool allows one to reduce many … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT BEGIN:VEVENT UID:20180925T153000-raphael-rouquier@math.utah.edu DTSTART;TZID=America/Denver:20180925T153000 DTEND;TZID=America/Denver:20180925T163000 DTSTAMP:20260819T205508Z SUMMARY:Representation theory on spaces DESCRIPTION:Speaker: Raphael Rouquier\, University of California, Los Angeles\n\nI will discuss an emerging theory where geometrical objects arising in representation theory are themselves viewed as "representations of a higher group". More general "higher groups" should arise as invariants of algebraic varieties and I will speculate on connections with higher algebraic K-theory … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT BEGIN:VEVENT UID:20181002T153000-ziquan-zhuang@math.utah.edu DTSTART;TZID=America/Denver:20181002T153000 DTEND;TZID=America/Denver:20181002T163000 DTSTAMP:20260819T205508Z SUMMARY:Birational superrigidity and K-stability DESCRIPTION:Speaker: Ziquan Zhuang\, Princeton University\n\nBirational superrigidity and K-stability are properties of Fano varieties that have many interesting geometric implications. For instance, birational superrigidity implies non-rationality and K-stability is related to the existence of Kähler-Einstein metrics. Nonetheless, both properties are hard to … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT BEGIN:VEVENT UID:20181009T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20181009T153000 DTEND;TZID=America/Denver:20181009T163000 DTSTAMP:20260819T205508Z SUMMARY:Fall Break DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT BEGIN:VEVENT UID:20181016T153000-stefano-filipazzi@math.utah.edu DTSTART;TZID=America/Denver:20181016T153000 DTEND;TZID=America/Denver:20181016T163000 DTSTAMP:20260819T205508Z SUMMARY:A generalized canonical bundle formula and applications DESCRIPTION:Speaker: Stefano Filipazzi\, University of Utah\n\nBirkar and Zhang recently introduced the notion of generalized pair. These pairs are closely related to the canonical bundle formula and have been a fruitful tool for recent developments in birational geometry. In this talk, I will introduce a version of the canonical bundle formula for generalized … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT BEGIN:VEVENT UID:20181023T153000-joaqu%C3%ADn-moraga@math.utah.edu DTSTART;TZID=America/Denver:20181023T153000 DTEND;TZID=America/Denver:20181023T163000 DTSTAMP:20260819T205508Z SUMMARY:Minimal log discrepancies and Kóllar components DESCRIPTION:Speaker: Joaquín Moraga\, University of Utah\n\nThe minimal log discrepancy of an algebraic variety is an invariant which measures the singularites of the variety. For mild singularities the minimal log discrepancy is a non-negative real value; the closer to zero this value is, the more singular the variety. It is conjectured that in a fixed … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT BEGIN:VEVENT UID:20181113T153000-lei-wu@math.utah.edu DTSTART;TZID=America/Denver:20181113T153000 DTEND;TZID=America/Denver:20181113T163000 DTSTAMP:20260819T205508Z SUMMARY:Hyperbolicity of base spacs of log smooth families DESCRIPTION:Speaker: Lei Wu\, University of Utah\n\nPeople expect moduli spaces to be hyperbolic at least in the sense of stack. I will discuss known results about both analytic and algebraic hyperbolicity of certain moduli of varieties, for instance M_g and families of general type varieties. Then I will talk about hyperbolicity for base spaces of … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT BEGIN:VEVENT UID:20181120T153000-renzo-cavalieri@math.utah.edu DTSTART;TZID=America/Denver:20181120T153000 DTEND;TZID=America/Denver:20181120T163000 DTSTAMP:20260819T205508Z SUMMARY:Witten conjecture for Mumford's kappa classes DESCRIPTION:Speaker: Renzo Cavalieri\, Colorado State University\n\nKappa classes were introduced by Mumford, as a tool to explore the intersection theory of the moduli space of curves. Iterated use of the projection formula shows there is a close connection between the intersection theory of kappa classes on the moduli space of unpointed curves, and the … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT BEGIN:VEVENT UID:20181127T153000-ziwen-zhu@math.utah.edu DTSTART;TZID=America/Denver:20181127T153000 DTEND;TZID=America/Denver:20181127T163000 DTSTAMP:20260819T205508Z SUMMARY:Higher Codimensional Alpha Invariants and Characterization of Projective Spaces DESCRIPTION:Speaker: Ziwen Zhu\, University of Utah\n\nRecent work of Kento Fujita, Yuji Odaka and Chen Jiang shows that among K-semistable Fano manifolds, the projective space can be characterized in terms of either the alpha invariant or the volume. In this talk, I will generalize the definition of alpha invariant to arbitrary codimension, and show … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT BEGIN:VEVENT UID:20181204T153000-nivedita-bhaskhar@math.utah.edu DTSTART;TZID=America/Denver:20181204T153000 DTEND;TZID=America/Denver:20181204T163000 DTSTAMP:20260819T205508Z SUMMARY:Reduced Whitehead groups of algebras over p-adic curves DESCRIPTION:Speaker: Nivedita Bhaskhar\, University of California Los Angeles\n\nAny central simple algebra A over a field K is a form of a matrix algebra. Further A/K comes equipped with a reduced norm map which is obtained by twisting the determinant function. Every element in the commutator subgroup [A*, A*] has reduced norm 1 and hence lies in SL_1(A), the group of reduced … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2018-fall/ END:VEVENT END:VCALENDAR