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SUMMARY:Mapping Class Groups of 4-Manifolds and Gauge Theory [MPIM]
DTSTART:20251111T150000Z
DTEND:20251111T160000Z
DTSTAMP:20260416T081300Z
UID:indico-event-904@math-events.uni-bonn.de
DESCRIPTION:Speakers: Juan Munoz-Echaniz (Stony Brook University)\n\nExtra
  talk\nI will discuss recent progress in the study of the mapping class gr
 oup—that is\, the group of isotopy classes of diffeomorphisms—of 4-dim
 ensional smooth manifolds\; in particular\, of diffeomorphisms that genera
 lize the classical Dehn twist. This has led to applications and to rich in
 terplay across several areas: algebraic geometry\, through the monodromy o
 f complex surface singularities\; low-dimensional topology\, through exoti
 c diffeomorphisms\; and symplectic geometry\, via Torelli symplectomorphis
 ms. The techniques I will discuss come from gauge theory\, specifically th
 e study of moduli spaces of solutions to the Seiberg–Witten equations on
  smooth 4-manifold bundles. Based on joint work with H. Konno\, J. Lin\, a
 nd A. Mukherjee.\n\nhttps://math-events.uni-bonn.de/event/904/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/904/
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