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 - Spring 2024 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20240116T150000-junyan-zhao@math.utah.edu DTSTART;TZID=America/Denver:20240116T150000 DTEND;TZID=America/Denver:20240116T160000 DTSTAMP:20260819T205508Z SUMMARY:Moduli of curves and K-stability DESCRIPTION:Speaker: Junyan Zhao\, University of Illinois Chicago\n\nIn this talk, I will explore various compactifications of moduli spaces of genus six curves, delving into their intricate interactions. A key ingredient is the K-moduli spaces of log Fano pairs. The intricate wall crossing structure not only yields novel compactifications but also plays a pivotal … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240206T153000-brad-dirks@math.utah.edu DTSTART;TZID=America/Denver:20240206T153000 DTEND;TZID=America/Denver:20240206T163000 DTSTAMP:20260819T205508Z SUMMARY:The Minimal Exponent of LCI Subvarieties DESCRIPTION:Speaker: Brad Dirks\, Stony Brook\n\nClassification of singularities is an interesting problem in many areas of algebraic geometry, like the minimal model program. One classical approach is to assign to a singular subvariety a rational number, its log canonical threshold. For complex hypersurface singularities, this invariant has been … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240220T153000-gabriel-dorfsman-hopkins@math.utah.edu DTSTART;TZID=America/Denver:20240220T153000 DTEND;TZID=America/Denver:20240220T163000 DTSTAMP:20260819T205508Z SUMMARY:A Condensed Approach to Continuous Group Cohomology DESCRIPTION:Speaker: Gabriel Dorfsman-Hopkins\, St. Lawrence University\n\nA common issue one can run into is that topological algebra doesn't play well with homological algebra: for example, the category of topological abelian groups is not an abelian category. This introduces many pathologies, for example: continuous group cohomology does not give rise to long exact … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240305T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20240305T153000 DTEND;TZID=America/Denver:20240305T163000 DTSTAMP:20260819T205508Z SUMMARY:No Seminar DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240312T153000-bogdan-zavyalov@math.utah.edu DTSTART;TZID=America/Denver:20240312T153000 DTEND;TZID=America/Denver:20240312T163000 DTSTAMP:20260819T205508Z SUMMARY:Lefschetz Hyperplane Theorems for flat cohomology and Picard group DESCRIPTION:Speaker: Bogdan Zavyalov\, IAS\n\nI will discuss how the recent progress in p-adic Hodge theory could be used to prove a version of Lefschetz Hyperplane Theorem for flat cohomology. Then, I will discuss how this result could be used to recover a recent result of Česnavičius and Scholze saying that \(\mathrm{Pic}(X)_{\mathrm{tors}} = … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240326T153000-joaqu%C3%ADn-moraga@math.utah.edu DTSTART;TZID=America/Denver:20240326T153000 DTEND;TZID=America/Denver:20240326T163000 DTSTAMP:20260819T205508Z SUMMARY:Birational complexity of Fano varieties DESCRIPTION:Speaker: Joaquín Moraga\, UCLA\n\nFano varieties are one of the three building blocks of algebraic varieties. In this talk, we will discuss how to describe a general rational Fano variety. Although there is no consensus on how to answer to this question, we will explore some new invariants motivated by combinatorics and toric … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240409T153000-fred-nelson@math.utah.edu DTSTART;TZID=America/Denver:20240409T153000 DTEND;TZID=America/Denver:20240409T163000 DTSTAMP:20260819T205508Z SUMMARY:The Group of Rational Points on the Holm Curve is Torsion-free DESCRIPTION:Speaker: Fred Nelson\n\nUsing the division polynomials for elliptic curves in Weierstrass form, it is shown that the group of rational points on the curve \(H:k(y^3 −y)= l(x^3 −x)\) is torsion-free. LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240416T153000-aaron-bertram-and-alicia-lamarche@math.utah.edu DTSTART;TZID=America/Denver:20240416T153000 DTEND;TZID=America/Denver:20240416T163000 DTSTAMP:20260819T205508Z SUMMARY:How to count to n! (and other Weyl groups) DESCRIPTION:Speaker: Aaron Bertram and Alicia Lamarche\n\nThe list of projective varieties known to have full strong exceptional collections of coherent sheaves is quite short. There is projective space and a few other homogeneous spaces and toric varieties. One example is the toric variety associated to the "permutahedron," which Castravet and Tevelev … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-spring/ END:VEVENT END:VCALENDAR