BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Quivers\, the Ringel-Hall algebra and the cohomological Hall algeb
 ra - Sarunas Kaubrys\, University of Edinburgh
DTSTART:20211119T150000Z
DTEND:20211119T160000Z
UID:TALK165766@talks.cam.ac.uk
CONTACT:Tom Adams
DESCRIPTION:We will start by defining quivers\, which are directed graphs\
 , and their representations. Afterwards we will motivate why quiver repres
 entations are natural to study in representation theory and algebraic geom
 etry. We will then state Gabriel's theorem about representations of quiver
 s of ADE type\, which gives us a connection to the theory of Lie algebras.
  Afterwards we will explore different algebras associated to a quiver. We 
 will touch on a selection of the following topics: The Ringel-Hall algebra
  of a quiver and its relation to the positive part of the quantum group\, 
 definition of the cohomological Hall algebra (CoHA) of a quiver in terms o
 f equivariant cohomology\, concrete description of the multiplication of t
 he CoHA and first examples. This talk should not have too many prerequisit
 es\, in particular\, no knowledge about quivers is assumed. Some knowledge
  about Lie algebras and algebraic geometry is useful to understand some of
  the motivations.
LOCATION:CMS MR11
END:VEVENT
END:VCALENDAR