Summer School on Modern Tools in Low-Dimensional Topology; Conference on Modern Developments in Low-Dimensional Topology

Administration

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 Leeds

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

Poster

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)
  - 10:30 Real Seiberg-Witten theory 45'
    
    Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
  - 11:15 Coffee break 30'
  - 11:45 Lefschetz fibrations and closed exotic 4-manifolds 45'
    
    Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
  - 12:30 Lunch 2h0'
  - 14:30 Kontsevich invariants from configuration spaces 1h0'
    
    Speaker: Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
  - 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)
Tuesday, 3 June 2025
- 09:30 - 17:45
  - 09:30 Skein lasagna modules 45'
    
    Speaker: Mike Willis (Texas A&M), Melissa Zhang (UC Davis)
  - 10:30 Real Seiberg-Witten theory 45'
    
    Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
  - 11:15 Coffee break 30'
  - 11:45 Lefschetz fibrations and closed exotic 4-manifolds 45'
    
    Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
  - 12:30 Lunch 2h0'
  - 14:30 Kontsevich invariants from configuration spaces 1h0'
    
    Speaker: Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
  - 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)
  - 10:30 Real Seiberg-Witten theory 45'
    
    Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
  - 11:15 Coffee break 30'
  - 11:45 Lefschetz fibrations and closed exotic 4-manifolds 45'
    
    Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
  - 12:30 Lunch 2h0'
  - 14:30 Kontsevich invariants from configuration spaces 1h0'
    
    Speaker: Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
  - 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)
  - 10:30 Real Seiberg-Witten theory 45'
    
    Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
  - 11:15 Coffee break 30'
  - 11:45 Lefschetz fibrations and closed exotic 4-manifolds 45'
    
    Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
  - 12:30 Lunch 2h0'
  - 14:30 Kontsevich invariants from configuration spaces 1h0'
    
    Speaker: Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
  - 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)
  - 10:30 Real Seiberg-Witten theory 45'
    
    Speaker: Hokuto Konno (Tokyo U), Ian Montague (UT Austin)
  - 11:15 Coffee break 30'
  - 11:45 Lefschetz fibrations and closed exotic 4-manifolds 45'
    
    Speaker: András Stipsicz (Rényi Institute), Zoltán Szabó (Princeton)
  - 12:30 Lunch 2h0'
  - 14:30 Kontsevich invariants from configuration spaces 1h0'
    
    Speaker: Jianfeng Lin (Tsinghua U), Danica Kosanović (U Bern)
  - 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'

Monday, 9 June 2025

09:15 - 17:30

09:15 Exotic aspherical 4-manifolds 1h0'

Speaker: Kyle Hayden (Rutgers Newark)
10:30 TBA 30'

Speaker: Louisa Liles (U Virginia)
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 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 TBA 30'

Speaker: Dean Spyropoulos (Michigan State)
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)
12:30 TBA 30'

Speaker: Laura Wakelin (King's College)
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 Compressing surface diffeomorphisms via bordered Floer homology 1h0'
    
    Speaker: Akram Alishahi (U Georgia)
  - 10:15 Towards constructing faithful homological representations of surface mapping class groups 30'
    
    Speaker: Aleksei Andreev (U Zurich)
  - 10:45 Coffee break 30'
  - 11:15 A quantum algorithm for Khovanov homology 1h0'
    
    Speaker: Alexander Schmidhuber (MIT)
  - 12:15 Lunch 1h45'
  - 14:00 TBA 1h0'
    
    Speaker: Cristina Palmer-Anghel (U Leeds)
  - 15:15 Functoriality of odd Khovanov homology and branched double-covers 1h0'
    
    Speaker: Stephan Wehrli (Syracuse U)