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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:Four chapters on low-dimensional gauge theories
DTSTART:20150421T100000
DTEND:20150423T120000
DTSTAMP:20260429T161906Z
UID:4a4a9194ce54ea96f4aa9dbebbc02dc1c66d6ea9d6acaeaba878bba9
CATEGORIES:Conferences - Seminars
DESCRIPTION:Thierry Lévy & Ambar Sengupta\n1. Historical introduction : f
 rom classical electromagnetism to gauge theories\nGauge theories govern th
 e interaction between the fundamental constituents of matter. Electromagne
 tism is the most familiar such theory. In this lecture we look back at Max
 well's equations for the electromagnetic field and explore how these relat
 e to the Yang-Mills equations for gauge theories.2. A case study : two-dim
 ensional Yang-Mills theory\nIn this lecture we explore the  Yang-Mills me
 asure in two dimensions. This measure arises from the study of a quantum t
 heory for the Yang-Mills gauge field. Geometry and probability interweave 
 in the construction and study of this measure.3. A connection with random 
 matrix theory : the master field\nEvery gauge theory has associated to it 
 a group of symmetries\, typically a subgroup of U(N)\, the  group of NxN 
 unitary matrices. A rich structure emerges when considers the behavior of 
 this theory as N goes to infinity. This lecture will explore results and q
 uestions in this area\, which lies at the juncture of random matrix theory
  and stochastic geometry.4. The scale of dimensions : Yang-Mills and Chern
 -Simons\nChern-Simons theory is a gauge theory in three dimensions that ha
 s an elegant mathematical structure with a topological flavor. In this the
 ory we explore aspects of Yang-Mills and Chern-Simons functional integrals
  from a geometric viewpoint.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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