BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kevin Tucker (University of Illinois Chicago\, IL\, USA) DTSTART:20230203T130000Z DTEND:20230203T140000Z DTSTAMP:20260423T021003Z UID:VCAS/175 DESCRIPTION:Title: T he Theory of F-rational Signature\nby Kevin Tucker (University of Illi nois Chicago\, IL\, USA) as part of IIT Bombay Virtual Commutative Algebra Seminar\n\n\nAbstract\nThe celebrated results of Smith\, Hara\, and Mehta -Srinivas connect rational singularities in characteristic zero after redu ction to characteristic p > 0 with F-rational singularities. In recent yea rs\, a number of invariants defined via Frobenius in positive characterist ics have been introduced as quantitative measures of F-rationality. These include the F-rational signature (Hochster-Yao)\, relative F-rational sign ature (Smirnov-Tucker)\, and dual F-signature (Sannai). In this talk\, I w ill discuss new results in joint work with Smirnov relating each of these invariants. In particular\, we show that the relative F-rational signature and dual F-signature coincide\, while also verifying that the dual F-sign ature limit converges.\n LOCATION:https://researchseminars.org/talk/VCAS/175/ END:VEVENT END:VCALENDAR