BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Satya Mandal (The University of Kansas) DTSTART:20201027T130000Z DTEND:20201027T140000Z DTSTAMP:20260423T020953Z UID:VCAS/31 DESCRIPTION:Title: Qu illen $K$-Theory: A reclamation in Commutative Algebra - Part 1\nby Sa tya Mandal (The University of Kansas) as part of IIT Bombay Virtual Commut ative Algebra Seminar\n\n\nAbstract\nIn these two talks I take a pedagogic approach to Quillen $K$-theory. What it takes to teach (and learn) Quille n $K$-theory? I am at the tail end of completing a book on this\, which wo uld eventually be available through some outlet. This is based on a course I taught. Current version has nearly 400 pages\, in eleven chapters. I fi nish with Swan’s paper on quadrics. I tried to do it in a reader friendl y way\, and tried to avoid expressions like “left to the readers”. I w ould give an overview and a road map.  To justify the title\, let me rem ind you that $K$-theory used to be part of Commutative algebra. In this en deavor\, I consolidate the background needed\, in about 100 pages\, for a commutative algebraist to pick up the book and give a course\, or learn. T here is a huge research potential in this direction. This is because\, wit h it\, topologists have done what they are good at. However\, these higher $K$-groups have not been descried in a tangible manner. That would be the job of commutative algebraist\, and would require such expertise.\n LOCATION:https://researchseminars.org/talk/VCAS/31/ END:VEVENT END:VCALENDAR