BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Clark Barwick (University of Edinburgh) DTSTART:20240814T160000Z DTEND:20240814T170000Z DTSTAMP:20260423T024726Z UID:TQFT/120 DESCRIPTION:Title: F actorization algebras in quite a lot of generality\nby Clark Barwick ( University of Edinburgh) as part of Topological Quantum Field Theory Club (IST\, Lisbon)\n\n\nAbstract\nIn the last decade there has been a flurry o f interest in arithmetic quantum field theories​. Since the 1960s\, rese archers have identified an analogy between various objects of arithmetic g eometry and low-dimensional manifolds. For example\, Spec of a number ring “looks like” an open 3-manifold\, and primes therein “are” embedd ed knots. This story has become known as arithmetic topology​. The idea of arithmetic QFT is to enrich that analogy by importing tools from physic s\, just as with low-dimensional topology. One even dreams of using these tools to study number-theoretic questions (the behavior of L-functions\, L anglands dualities\, etc.).\n\nBut the objects of arithmetic geometry are not​ manifolds. The tools of topology and differential geometry do not w ork directly in arithmetic. So it’s unclear how to translate physical co ncepts to arithmetic settings.\n\nTo this end\, we introduce a minimalist framework for factorization algebras\, where the role of the spacetime man ifold can be played by a geometric object of a very general sort. In retro spect\, the main idea amounts to a categorification of Borcherds’ approa ch to vertex algebras.\n LOCATION:https://researchseminars.org/talk/TQFT/120/ END:VEVENT END:VCALENDAR