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UID:2602@qft.physik.hu-berlin.de
DTSTART;TZID=Europe/Berlin:20261019T150000
DTEND;TZID=Europe/Berlin:20261019T160000
DTSTAMP:20261014T124413Z
URL:https://qft.physik.hu-berlin.de/next-seminars/johannes-pirsch-2/
SUMMARY:Johannes Pirsch - 
DESCRIPTION:Title: Symplectic geometry: Phase space\, Poisson structures\, 
 and constraints done right\n\nAbstract: In this blackboard talk we will fo
 rmalize some of the underlying concepts encountered in WQFT calculations. 
 First we will define the geometric object “phase space” and introduce 
 the concept of a symplectic manifold. This allows us to lift the spacetime
  connection to a connection on phase space leading to an explicitly covari
 ant Poisson bracket. With this machinery in hand we will discuss the speci
 al case when the fiber derivative (or Legendre transform) is singular and 
 first- or second-class constraints are present. We will then show their re
 spective geometric interpretation and why first class constraint generate 
 gauge transformations. Throughout\, we will illustrate the concepts in the
  familiar setting of the relativistic point particle.
CATEGORIES:ERC Group Seminar
LOCATION:IRIS building\, Room 1.221\, Zum Großen Windkanal 2\, Berlin\, 12
 489\, Germany
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Zum Großen Windkanal 2\, B
 erlin\, 12489\, Germany;X-APPLE-RADIUS=100;X-TITLE=IRIS building\, Room 1.
 221:geo:0,0
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TZID:Europe/Berlin
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DTSTART:20260329T030000
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