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Description

Summer school: 2 - 6 June 2025
Conference: 9 - 13 June 2025 
 
The summer school is aimed at graduate students in low-dimensional topology. The goal is to make students familiar with the novel techniques in the field that have led to recent advances in our understanding of four-dimensional manifolds.
 
The program will consist of four mini-courses of 5 lectures each, all accompanied by discussion sessions:

1. Skein lasagna modules, by
Mike Willis (Texas A&M) and
Melissa Zhang (UC Davis)

2. Real Seiberg-Witten theory, by
Hokuto Konno (Tokyo U) and
Ian Montague (UT Austin)

3. Kontsevich invariants from configuration spaces, by
Jianfeng Lin (Tsinghua U) and
Danica Kosanović (U Bern)

4. Lefschetz fibrations and closed exotic 4-manifolds, by
András Stipsicz (Rényi Institute) and
Zoltán Szabó (Princeton)
 
The conference will consist of several research talks on topics of current interest in low dimensional topology, including four-manifolds, knot invariants, categorification, gauge theory, and connections to physics.
 
Confirmed conference speakers:
Mina Aganagić, UC Berkeley
Akram Alishahi, U Georgia
Aleksei Andreev, U Zurich
Valentina Bais, SISSA Trieste
William Ballinger, Harvard
Inanc Baykur, U Mass Amherst
Joe Boninger, Boston College
Kyle Hayden, Rutgers Newark
Matthew Hogancamp, Northeastern
Allison Miller, Swarthmore
Sungkyung Kang, Oxford
Jiakai Li, Harvard
Louisa Liles, U Virginia
Juan Muñoz-Echániz, SCGP
Gheehyun Nahm, Princeton U
Cristina Palmer-Anghel, U Clermont Auvergne
Qianhe Qin, Stanford 
Qiuyu Ren, UC Berkeley
Alexander Schmidhuber, MIT
Dean Spyropoulos, Michigan State
Masaki Taniguchi, Kyoto U
Alison Tatsuoka, Princeton U
Hongjian Yang, Stanford
Laura Wakelin, King's College
Paul Wedrich, U Hamburg
Stephan Wehrli, Syracuse U
 
 

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.
 

Material

Summer School on Modern Tools in Low-Dimensional Topology; Conference on Modern Developments in Low-Dimensional Topology | (smr 4074)
Go to day
  • Monday, 2 June 2025
    • 08:30 - 09:30 Registration and administrative formalities
    • 09:30 - 17:45
      • 09:30 Skein lasagna modules 45'
        Speaker: Mike Willis (Texas A&M), Melissa Zhang (UC Davis)
        Material: Video
      • 10:30 Real Seiberg-Witten theory 45'
        Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
        Material: Video
      • 11:15 Coffee break 30'
      • 11:45 Lefschetz fibrations and closed exotic 4-manifolds 45'
        Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
        Material: Video
      • 12:30 Lunch 2h0'
      • 14:30 Kontsevich invariants from configuration spaces 45'
        Speaker: Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
        Material: Slides Video
      • 15:30 Skein lasagna modules / Real Seiberg-Witten theory discussion sessions 1h0'
        Speaker: Mike Willis (Texas A&M), Melissa Zhang (UC Davis), Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
      • 16:15 Coffee break 30'
      • 16:30 Lefschetz fibrations and closed exotic 4-manifolds / Kontsevich invariants from configuration spaces discussion sessions 1h0'
        Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton), Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
    • 18:00 - 19:30 Welcome reception
  • Tuesday, 3 June 2025
    • 09:30 - 17:45
      • 09:30 Skein lasagna modules 45'
        Speaker: Mike Willis (Texas A&M), Melissa Zhang (UC Davis)
        Material: Video
      • 10:30 Real Seiberg-Witten theory 45'
        Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
        Material: Video
      • 11:15 Group photo & Coffee break 30'
      • 11:45 Lefschetz fibrations and closed exotic 4-manifolds 45'
        Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
        Material: Video
      • 12:30 Lunch 2h0'
      • 14:30 Kontsevich invariants from configuration spaces 45'
        Speaker: Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
        Material: Video
      • 15:30 Skein lasagna modules / Lefschetz fibrations and closed exotic 4-manifolds 1h0'
        Speaker: Mike Willis (Texas A&M), Melissa Zhang (UC Davis), András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
      • 16:15 Coffee break 30'
      • 16:30 Real Seiberg-Witten theory / Kontsevich invariants from configuration spaces discussion sessions 1h0'
        Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin), Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
  • Wednesday, 4 June 2025
    • 09:30 - 17:45
      • 09:30 Skein lasagna modules 45'
        Speaker: Mike Willis (Texas A&M), Melissa Zhang (UC Davis)
        Material: Video
      • 10:30 Real Seiberg-Witten theory 45'
        Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
        Material: Video
      • 11:15 Coffee break 30'
      • 11:45 Lefschetz fibrations and closed exotic 4-manifolds 45'
        Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
        Material: Video
      • 12:30 Lunch 2h0'
      • 14:30 Kontsevich invariants from configuration spaces 45'
        Speaker: Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
        Material: Video
      • 15:30 Skein lasagna modules / Kontsevich invariants from configuration spaces 1h0'
        Speaker: Mike Willis (Texas A&M), Melissa Zhang (UC Davis), Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
      • 16:15 Coffee break 30'
      • 16:30 Real Seiberg-Witten theory / Lefschetz fibrations and closed exotic 4-manifolds 1h0'
        Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin), András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
  • Thursday, 5 June 2025
    • 09:30 - 17:45
      • 09:30 Skein lasagna modules 45'
        Speaker: Mike Willis (Texas A&M), Melissa Zhang (UC Davis)
        Material: Video
      • 10:30 Real Seiberg-Witten theory 45'
        Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
        Material: Video
      • 11:15 Coffee break 30'
      • 11:45 Lefschetz fibrations and closed exotic 4-manifolds 45'
        Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
        Material: Video
      • 12:30 Lunch 2h0'
      • 14:30 Kontsevich invariants from configuration spaces 45'
        Speaker: Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
        Material: Video
      • 15:30 Real Seiberg-Witten theory / Kontsevich invariants from configuration spaces discussion sessions 1h0'
        Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin), Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
      • 16:15 Coffee break 30'
      • 16:30 Skein lasagna modules / Lefschetz fibrations and closed exotic 4-manifolds 1h0'
        Speaker: Mike Willis (Texas A&M), Melissa Zhang (UC Davis), András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
  • Friday, 6 June 2025
    • 09:30 - 17:45
      • 09:30 Skein lasagna modules 45'
        Speaker: Mike Willis (Texas A&M), Melissa Zhang (UC Davis)
        Material: Video
      • 10:30 Real Seiberg-Witten theory 45'
        Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
        Material: Video
      • 11:15 Coffee break 30'
      • 11:45 Lefschetz fibrations and closed exotic 4-manifolds 45'
        Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
        Material: Video
      • 12:30 Lunch 2h0'
      • 14:30 Kontsevich invariants from configuration spaces 45'
        Speaker: Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
        Material: Video
      • 15:30 Skein lasagna modules / Real Seiberg-Witten theory discussion sessions 1h0'
        Speaker: Mike Willis (Texas A&M), Melissa Zhang (UC Davis), Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
      • 16:15 Coffee break 30'
      • 16:30 Lefschetz fibrations and closed exotic 4-manifolds / Kontsevich invariants from configuration spaces discussion sessions 1h0'
        Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton), Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
  • Monday, 9 June 2025
    • 09:15 - 17:30
      • 09:15 Exotic aspherical 4-manifolds 1h0'
        Speaker: Kyle Hayden (Rutgers Newark)
        Material: Abstract
      • 10:30 Infinite Families of (Quantum) Modular 3-Manifold Invariants 30'
        Speaker: Louisa Liles (U Virginia)
        Material: Abstract
      • 11:00 Coffee break 30'
      • 11:30 TBA 1h0'
        Speaker: Paul Wedrich (U Hamburg)
      • 12:30 Lunch 2h30'
      • 15:00 TBA 1h0'
        Speaker: Gheehyun Nahm (Princeton U)
      • 16:00 Coffee break 30'
      • 16:30 A partial resolution to Hedden's conjecture on satellite (non) homomorphisms 1h0'
        Speaker: Allison Miller (Swarthmore)
        Material: Abstract
  • Tuesday, 10 June 2025
    • 09:15 - 17:30
      • 09:15 TBA 1h0'
        Speaker: Mina Aganagić (UC Berkeley)
      • 10:30 Involutive Khovanov homology is interestingly trivial 30'
        Speaker: Hongjian Yang (Stanford)
        Material: Abstract
      • 11:00 Group photo & Coffee break 30'
      • 11:30 Categorification of the Turaev-Viro TQFT 1h0'
        Speaker: Matthew Hogancamp (Northeastern)
      • 12:30 Lunch 2h30'
      • 15:00 Khovanov skein lasagna modules with 1-dimensional inputs 1h0'
        Speaker: Qiuyu Ren (UC Berkeley)
        Material: Abstract
      • 16:00 Coffee break 30'
      • 16:30 Matrix Factorizations beyond type A 30'
        Speaker: William Ballinger (Harvard)
      • 17:00 TBA 30'
        Speaker: Qianhe Qin (Stanford)
  • Wednesday, 11 June 2025
    • 09:00 - 14:30
      • 09:00 Boundary Dehn twists on 4-manifolds and Milnor fibrations of surface singularities 1h0'
        Speaker: Juan Muñoz-Echániz (SCGP)
        Material: Abstract
      • 10:15 Another proof of functoriality for odd Khovanov homology 30'
        Speaker: Dean Spyropoulos (Michigan State)
        Material: Abstract
      • 10:45 Coffee break 30'
      • 11:15 Some examples of small irreducible exotic 4-manifolds with free abelian fundamental group 30'
        Speaker: Valentina Bais (SISSA Trieste)
        Material: Abstract
      • 11:50 Obstructing Cosmetic Crossing Changes 30'
        Speaker: Joe Boninger (Boston College)
        Material: Abstract
      • 12:30 Towards constructing faithful homological representations of surface mapping class groups 30'
        Speaker: Aleksei Andreev (U Zurich)
      • 13:00 Lunch and free afternoon 1h30'
  • Thursday, 12 June 2025
    • 09:15 - 17:30
      • 09:15 Odd pattern satellite formula for real Floer homotopy type 1h0'
        Speaker: Masaki Taniguchi (Kyoto U)
        Material: Abstract
      • 10:30 TBA 30'
        Speaker: Alison Tatsuoka (Princeton U)
      • 11:00 Coffee break 30'
      • 11:30 Non-sliceness of cables of figure-eight knot via real Seiberg-Witten theory 1h0'
        Speaker: Sungkyung Kang (Oxford)
        Material: Abstract
      • 12:30 Lunch 2h30'
      • 15:00 Monopole Floer homology for webs and foams 1h0'
        Speaker: Jiakai Li (Harvard)
        Material: Abstract
      • 16:00 Coffee break 30'
      • 16:30 A dichotomoy in dimension four 1h0'
        Speaker: Inanc Baykur (U Mass Amherst)
  • Friday, 13 June 2025
    • 09:00 - 16:15
      • 09:00 Colored knot Floer homology 1h0'
        Speaker: Akram Alishahi (U Georgia)
        Material: Abstract
      • 10:15 Dehn surgery functions are never injective 30'
        Speaker: Laura Wakelin (King's College)
        Material: Abstract
      • 10:45 Coffee break 30'
      • 11:15 A quantum algorithm for Khovanov homology 1h0'
        Speaker: Alexander Schmidhuber (MIT)
      • 12:15 Lunch 1h45'
      • 14:00 Universal Link Invariants via Configuration Spaces 1h0'
        Speaker: Cristina Palmer-Anghel (U Clermont Auvergne)
        Material: Abstract
      • 15:15 Functoriality of odd Khovanov homology and branched double-covers 1h0'
        Speaker: Stephan Wehrli (Syracuse U)
        Material: Abstract
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