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SUMMARY:Luigi Alfonsi (University of Hertfordshire)
DTSTART:20240319T203000Z
DTEND:20240319T220000Z
DTSTAMP:20260422T174230Z
UID:tandg/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/16/">B
 atalin–Vilkovisky formalism beyond perturbation theory via derived geome
 try</a>\nby Luigi Alfonsi (University of Hertfordshire) as part of Topolog
 y and Geometry Seminar (Texas\, Kansas)\n\n\nAbstract\nIn this talk I will
  discuss applications of derived differential geometry to study a non-pert
 urbative generalisation of classical Batalin–Vilkovisky (BV-)formalism. 
 First\, I will describe the current state of the art of the geometry of pe
 rturbative BV-theory. Then\, I will introduce a simple model of derived di
 fferential geometry\, whose geometric objects are formal derived smooth st
 acks (i.e. stacks on formal derived smooth manifolds)\, and which is obtai
 ned by applying Töen-Vezzosi’s homotopical algebraic geometry to the th
 eory of derived manifolds of Spivak and Carchedi-Steffens. I will show how
  derived differential geometry is able to capture aspects of non-perturbat
 ive BV-theory by means of examples in the cases of scalar field theory and
  Yang-Mills theory.\n
LOCATION:https://researchseminars.org/talk/tandg/16/
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