Scientific Calendar Event



Description An ICTP Hybrid Meeting. You can submit your application for participation in presence or online.

Organised in partnership with the Clay Mathematics Institute

The conference is intended as an appreciation of the contributions of Tomasz Mrowka

Geometry and Topology have seen spectacular recent developments, including the solution of classical problems. As a consequence, the established picture of how various parts of these areas fit together is evolving rapidly. On the topological side, among the topics that have progressed are: four-manifolds obtained as knot traces; knot concordance and homology cobordism, Stein fillings. On the Floer homology side, we have powerful new computational methods and new invariants of embedded graphs and webs.

On the more analytic side, we have new compactness results and potential new invariants.
 
Topics:
  • Interplay of 3-dimensional and 4-dimensional Topology
  • Floer homology theories and associated invariants
  • Khovanov homology
  • Geometric and analytic aspects of gauge theoretic equations

Speakers:
D. GABAI, Princeton University, USA
L. GOETTSCHE, ICTP, Italy
L. GUTH, MIT, USA
J. HOM, Georgia Tech, USA
C. HUGELMEYER, Princeton University, USA
P. KRONHEIMER, Harvard University, USA
F. LIN, Princeton University, USA
R. LIPSHITZ, University of Oregon, USA
P. LISCA, Università di Pisa, Italy
C. MANOLESCU, Stanford University, USA
G. MATIC, University of Georgia, USA
R. MAZZEO, Stanford University, USA
M. MILLER, Stanford University, USA
E. MURPHY, Princeton University, USA
J. PARDON, Princeton University, USA
L. PICCIRILLO, MIT, USA
J. PINZON CAICEDO, University of Notre Dame, USA
J. RASMUSSEN, Cambridge, UK
D. RUBERMAN, Brandeis University, USA
A. STIPSICZ, Central European University, Hungary
Z. SZABO, Princeton University, USA
*C. TAUBES, Harvard University, USA
D. WANG SUNY, Stony Brook, USA
J. WANG, Harvard University, USA
C. ZIBROWIUS, University of Regensburg, Germany

*To be confirmed

Here is the link to the Frontiers in Geometry and Topology Summer School

Registration: A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.

 
Go to day
  • Monday, 8 August 2022
    • 08:30 - 09:00
      Location: Leonardo Building - Lobby
      • 08:30 Registration formalities (in person participants) 30'
        REGISTRATION: Upon arrival, Visitors not staying in the ICTP Guest House, are kindly requested to complete registration formalities at the Leonardo Building Lobby from 8.30 till 09:00.
    • 09:00 - 16:45
      Location: Leonardo Building - Budinich Lecture Hall
      • 09:00 Unknotting number and cabling 45'
        Speaker: Jen HOM (Georgia Tech, USA)
        Material: Video
      • 09:45 Break 15'
      • 10:00 Colored sl(N) homology and SU(N) representations of the trefoil 45'
        Speaker: Joshua WANG (Harvard University, USA)
        Material: Video
      • 10:45 Coffee break 45'
      • 11:30 A representability theorem for moduli spaces of pseudo-holomorphic curves 45'
        Speaker: John PARDON (Princeton University, USA)
        Material: Video
      • 12:15 Lunch break 2h15'
      • 14:30 Spectral Order Invariant as Obstruction to Stein Fillability 45'
        Speaker: Gordana MATIC (University of Georgia, USA)
        Material: Video
      • 15:15 Coffee break 45'
      • 16:00 Surfaces in four-manifolds 45'
        Speaker: Andras STIPSICZ (Central European University, Hungary)
        Material: Video
  • Tuesday, 9 August 2022
    • 09:00 - 16:45
      Location: Leonardo Building - Budinich Lecture Hall
      • 09:00 Skein Lasagna modules 45'
        Speaker: Ciprian MANOLESCU (Stanford University, USA)
        Material: Video
      • 09:45 Break 15'
      • 10:00 Monopoles and Seidel's spectral sequence 45'
        Speaker: Donghao WANG (SUNY Stony Brook, USA)
        Material: Video
      • 10:45 Coffee break 45'
      • 11:30 Computations of Vafa-Witten invariants in algebraic geometry 45'
        Speaker: Lothar GOETTSCHE (ICTP, Italy)
        Material: Video
      • 12:15 Lunch break 2h15'
      • 14:30 From ball fillings to cube tilings 45'
        Speaker: Joshua GREENE (Boston College, USA)
        Material: Video
      • 15:15 Group photo (in presence and online) 5'
      • 15:20 Coffee break 40'
      • 16:00 Monopole Floer homology and invariant theta-characteristics 45'
        Speaker: Francesco LIN (Princeton University, USA)
        Material: Video
  • Wednesday, 10 August 2022
    • 09:00 - 12:15
      • 09:00 Khovanov homology and strongly invertible knots 45'
        Speaker: Robert LIPSHITZ (University of Oregon, USA)
        Material: Video
      • 09:45 Break 15'
      • 10:00 Obstructing isotopy even with an extra dimension of freedom 45'
        Speaker: Maggie MILLER (Stanford University, USA)
        Material: Video
      • 10:45 Coffee break 45'
      • 11:30 Horizontal handlebody decompositions 45'
        Speaker: Paolo LISCA (Università di Pisa, Italy)
        Material: Video
  • Thursday, 11 August 2022
    • 09:00 - 16:45
      Location: Leonardo Building - Budinich Lecture Hall
      • 09:00 Knotted 3-balls in S^4 and knotted 3-spheres in S^1\times S^3 45'
        Speaker: David GABAI (Princeton University, USA)
        Material: Video
      • 09:45 Break 15'
      • 10:00 Satellite Operations that are not homomorphisms 45'
        Speaker: Juanita PINZON CAICEDO (University of Notre Dame, USA)
        Material: Video
      • 10:45 Coffee break 45'
      • 11:30 The degree of a map and its Lipschitz constant 45'
        Speaker: Larry GUTH (MIT, USA)
        Material: Video
      • 12:15 Lunch break 2h15'
      • 14:30 Diffeomorphism groups of 4-manifolds and embedding spaces 45'
        Speaker: Daniel RUBERMAN (Brandeis University, USA)
        Material: Video
      • 15:15 Coffee break 45'
      • 16:00 Algebraic curves defined by singular instanton homology 45'
        Remote talk
        Speaker: Peter KRONHEIMER (Harvard University, USA)
        Material: Video
    • 19:00 - 20:30
      • 19:00 Welcome Reception 1h30' ( Adriatico Guest House Terrace )
        All participants are cordially invited to the Welcome Reception
  • Friday, 12 August 2022
    • 09:00 - 14:00
      • 09:00 Four-manifolds with boundary and fundamental group Z 45'
        Speaker: Lisa PICCIRILLO (MIT, USA)
        Material: Video
      • 09:45 Break 15'
      • 10:00 Inscribed squares and linear relation avoiding paths 45'
        Speaker: Cole HUGELMEYER (Princeton University, USA)
        Material: Video
      • 10:45 Coffee break 30'
      • 11:15 Classification of link Floer and Khovanov multicurve invariants 45'
        Speaker: Claudius ZIBROWIUS (University of Regensburg, Germany)
        Material: Video
      • 12:15 Toroidal 3-manifolds, curves, and sutures 45'
        Speaker: Jake RASMUSSEN (University of Cambridge, UK)
        Material: Video
      • 13:00 Lunch break 1h0'