Scientific Calendar Event



Description
The main scientific theme of the workshop is counting BPS states in physical systems associated to 3-manifolds or links, and interpretation of these counts as old or new topological invariants.
 
Although the ideas behind such relations appeared already in the late 90s, the recent years have seen some dramatic new developments. The goal of this learning workshop is to bring together physicists and mathematicians who are experts in the subject and also those who would like to enter the field. In particular, the talks will be given both by senior scientists and junior ones, including PhD students who only recently began working on the subject. The talks will be supplemented by dedicated discussion sessions where experts can answer questions that will be submitted by participants to the moderator in advance, or asked directly during the session. 
 
Topics:
  • "Z-hat" and F_K invariants counting BPS states in 6d superconformal field theory compactified on 3- manifolds, and their relation to known invariants of 3-manifolds and links
  • Knots-quivers correspondence and its generalization to knot complements 
  • Properties of generating functions counting BPS states, including: modularity, relation to characters of (logarithmic) Vertex Operator Algebras, GW/DT invariants
Speakers:
R. AKHMECHET, Columbia University
M. CHENG, University of Amsterdam 
H-J. CHUNG, Jeju National University
I. COMAN, IPMU
F. COSTANTINO, Toulouse University
T. EKHOLM, Uppsala University
B. HAGHIGHAT, Tsinghua University
S. HARICHURN, Bonn University
J. JANKOWSKI, Wrocław University
P. JOHNSON, Michigan State University
S. KRUSHKAL, University of Virginia
P. LONGHI, Uppsala University
D. NOSHCHENKO, University of Amsterdam
S. PARK, University of Texas at Austin
D. PASSARO, University of Amsterdam
D. PEI, University of Southern Denmark
P. RAMADEVI, Indian Institute of Technology, Mumbai
S.J. RI, ICTP
M. STOSIC, Instituto Superior Técnico
P. SULKOWSKI, Warsaw University
J. SVOBODA, University of Miami
C. VAFA, Harvard University

 
Grants: 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, 27 February 2023
    • 08:30 - 09:20 Registration and Administrative formalities
      REGISTRATION: Upon arrival, Visitors not staying in the ICTP Guest Houses, are kindly requested to complete registration formalities at the Leonardo Building (Lobby). The Registration Desk will be open from 8.30 to 9.20.
      
      Time zone: You can choose your time zone (in place of Europe/Rome) on the top right of the page and the programme time will be modified accordingly.
    • 09:20 - 09:30 Opening remarks
    • 09:30 - 17:15
      • 09:30 State Counting and Topology with Quantum Modular Forms 1h0'
        Speaker: Miranda CHENG (University of Amsterdam, Netherlands)
      • 10:30 Coffee break 30'
      • 11:00 Log VOAs and 3-manifold invariants 1h0'
        Speaker: Davide PASSARO (University of Amsterdam, Netherlands)
        Material: Slides
      • 12:00 Informal discussion 30'
      • 12:30 Lunch 1h0'
      • 13:30 3-manifold invariants as false-mock pairs 1h0'
        Speaker: Ioana COMAN (IPMU, Japan)
      • 14:30 Break 15'
      • 14:45 $\hat{Z}$-invariants, splice diagrams and connections 1h0'
        Speaker: Josef SVOBODA (University of Miami, USA)
      • 15:45 Coffee break 30'
      • 16:15 Aspects of Z-hat and Delta invariants 1h0'
        Speaker: Shimal HARICHURN (Bonn University, Germany)
  • Tuesday, 28 February 2023
    • 09:30 - 17:15
      • 09:30 Rozansky-Witten theory and KZ-equations 1h0'
        Speaker: Babak HAGHIGHAT (Yau Mathematical Sciences Center, Tsinghua University, China)
        Material: Slides
      • 10:30 Coffee break 30'
      • 11:00 Chern-Simons field theory invariants 1h0'
        Speaker: Ramadevi PICHAI (Indian Institute of Technology Bombay, India)
        Material: Slides
      • 12:00 Informal discussion 30'
      • 12:30 Lunch 1h0'
      • 13:30 Three-Manifolds and Topological Modular Forms 1h0'
        Speaker: Du PEI (University of Southern Denmark, Denmark)
      • 14:30 Group photo & Break 15'
      • 14:45 BPS data and the Swampland 1h0'
        Speaker: Cumrun VAFA (Harvard University, USA)
      • 15:45 Coffee break 30'
      • 16:15 Parallel discussion 1h0' ( Budinich Lecture Hall, Oppenheimer Hall, Stasi Lecture Hall, Space at LB bar 1st floor )
    • 17:15 - 18:15 Seminar
      • 17:15 Lattice homology of curve singularities and Heegaard Floer Link theory 1h0'
        Please see details at the following LINK
        
        Speaker: Andras Nemethi (Alfred Renyi Institute of Mathematics, Hungary)
  • Wednesday, 1 March 2023
    • 09:30 - 17:15
      • 09:30 New applications of knots-quivers correspondence 1h0'
        Speaker: Marko STOSIC (Instituto Superior Tecnico, Instituto de Sistemas e Robotica, Portugal)
      • 10:30 Coffee break 30'
      • 11:00 Curve counts and recursion relations in the framed skein 1h0'
        Speaker: Tobias EKHOLM (Uppsala University, Sweden)
      • 12:00 Informal discussion 30'
      • 12:30 Lunch 1h0'
      • 13:30 Quivers, toric threefolds and lattice paths 1h0'
        Speaker: Piotr SULKOWSKI (University of Warsaw, Poland)
      • 14:30 Break 15'
      • 14:45 Permutohedra for knot homologies 1h0'
        Speaker: Dmitry NOSHCHENKO (University of Amsterdam, Netherlands)
      • 15:45 Coffee break 30'
      • 16:15 From diagonal quivers to BPS states 1h0'
        Speaker: Jakub JANKOWSKI (Wrocław University, Poland)
  • Thursday, 2 March 2023
    • 09:30 - 17:15
      • 09:30 On admissible skein modules 1h0'
        Speaker: Francesco COSTANTINO (Toulouse Mathematics Institute, France)
      • 10:30 Coffee break 30'
      • 11:00 An introduction to lattice cohomology 1h0'
        Speaker: Peter JOHNSON (Michigan State University, USA)
      • 12:00 Informal discussion 30'
      • 12:30 Lunch 1h0'
      • 13:30 Lattice cohomology and q-series invariants of 3-manifolds 1h0'
        Speaker: Slava KRUSHKAL (University of Virginia, USA)
        Material: Slides
      • 14:30 Break 15'
      • 14:45 Knot lattice homology and series invariants of knot complements 1h0'
        Speaker: Rostislav AKHMECHET (Columbia University, USA)
      • 15:45 Coffee break 30'
      • 16:15 Parallel discussion 1h0' ( Budinich Lecture Hall, Oppenheimer Hall, Stasi Lecture Hall, Space at LB bar 1st floor )
    • 18:30 - 21:00 Social Dinner
  • Friday, 3 March 2023
    • 09:30 - 17:15
      • 09:30 Refined and generalized $\hat{Z}$ (Z-hat) invariants for plumbed 3-manifolds 1h0'
        Speaker: Song Jin RI (SISSA, Italy)
      • 10:30 Coffee break 30'
      • 11:00 From the knots-quivers correspondence to multiple-cover skein dualities 1h0'
        Speaker: Pietro LONGHI (Uppsala University, Sweden)
      • 12:00 Informal discussion 30'
      • 12:30 Lunch 1h0'
      • 13:30 Homological blocks and R-matrices 1h0'
        Speaker: Sunghyuk PARK (University of Texas at Austin, USA)
        Material: Slides
      • 14:30 Break 15'
      • 14:45 BPS invariants for Seifert manifolds with or without a knot 1h0'
        Speaker: Hee-Joong CHUNG (Jeju National University, South Korea)
      • 15:45 Coffee break 30'
      • 16:15 Plenary discussion 1h0'