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SUMMARY:Masaki Taniguchi (iTHEMS/RIKEN\, Japan)
DTSTART:20201127T120000Z
DTEND:20201127T124000Z
DTSTAMP:20260404T111414Z
UID:GTWorkshopTurkey/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GTWor
 kshopTurkey/1/">Local equivalence in instanton Floer theory</a>\nby Masaki
  Taniguchi (iTHEMS/RIKEN\, Japan) as part of Geometry & Topology Workshop 
 Turkey\n\n\nAbstract\nRecently\, two kinds of real-valued homology cobordi
 sm invariants of oriented homology 3-spheres were introduced by Daemi and 
 Nozaki-Sato-Taniguchi. Their methods are based on quantitative constructio
 ns of instanton Floer homology. We develop local equivalence theory in the
  setting of “quantitative instanton Floer theory”. From this viewpoint
 \, we give several new real-valued homology cobordism invariants and prove
  a connected sum formula for Daemi’s invariants. As applications\, we gi
 ve several new facts on the homology cobordism group. This is joint work w
 ith Aliakbar Daemi and Kouki Sato.\n
LOCATION:https://stable.researchseminars.org/talk/GTWorkshopTurkey/1/
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SUMMARY:Marco Golla (CNRS\, University of Nantes\, France)
DTSTART:20201127T130500Z
DTEND:20201127T134500Z
DTSTAMP:20260404T111414Z
UID:GTWorkshopTurkey/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GTWor
 kshopTurkey/2/">Surgeries along torus knots bounding rational balls</a>\nb
 y Marco Golla (CNRS\, University of Nantes\, France) as part of Geometry &
  Topology Workshop Turkey\n\n\nAbstract\nA classical question of Casson as
 ks which 3-manifolds bound 4-manifolds with the rational homology of a bal
 l (also known as "rational balls"). Motivated by results on singular curve
 s in the complex projective plane\, we study Casson's question for 3-manif
 olds obtained as positive\, integral surgeries along positive torus knots 
 and their cables. For torus knot we obtain a complete answer\, using a com
 bination of Donaldson's theorem and Heegaard Floer homology. This is joint
  work with Paolo Aceto\, Kyle Larson\, and Ana G. Lecuona (arXiv:2008.0676
 0).\n
LOCATION:https://stable.researchseminars.org/talk/GTWorkshopTurkey/2/
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BEGIN:VEVENT
SUMMARY:Irving Dai (MIT\, United States)
DTSTART:20201127T141000Z
DTEND:20201127T145000Z
DTSTAMP:20260404T111414Z
UID:GTWorkshopTurkey/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GTWor
 kshopTurkey/3/">Corks\, involutions\, and Heegaard Floer homology</a>\nby 
 Irving Dai (MIT\, United States) as part of Geometry & Topology Workshop T
 urkey\n\n\nAbstract\nWe introduce and study a set of Floer-theoretic invar
 iants aimed at detecting corks. Our invariants obstruct the extension of a
  given involution over any homology ball\, rather than a particular contra
 ctible manifold. As an application\, we define a modification of the homol
 ogy cobordism group which takes into account an involution on each homolog
 y sphere\, and prove that this admits an infinite-rank subgroup of strongl
 y non-extendable corks. Using our invariants\, we establish several new fa
 milies of corks and prove that various known examples are strongly non-ext
 endable. This is joint work with Matt Hedden and Abhishek Mallick.\n
LOCATION:https://stable.researchseminars.org/talk/GTWorkshopTurkey/3/
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