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Lectures and talks

Week 1 (17-21 June 2024):

Fukaya categories associated with graded surfaces and gentle algebras - Claire Amiot, IUF, Institut Fourier

Lecture videos 1 - 2 - 3 - 4

Introduction to Heegaard-Floer homology - Paolo Ghiggini, CNRS, Institut Fourier, Grenoble

Lecture videos 1 - 2 - 3 - 4, Exercises 1 - 2 - 3
Surfaces in 4-manifolds - Arunima Ray, Max-Planck-Institut für Mathematik

Lecture videos 1 - 2 - 3 - 4, Exercises, Feedback

Short talks of June 20

11:00-11:20 Leo Mousseau, Humboldt Universität zu Berlin
Unknotting positive fibered knot

11:30-11:50 Ben-Michael Kohli, YMSC, Tsinghua University
Improving the Seifert inequality for the genus of a knot using the Links-Gould invariant of links

14:00-14:20 Alessandro Cigna, King's College London
 The Thurston norm of 2-bridge link complements

14:30-14:50 Vitalijs Brejevs, University of Vienna 
The twisting number of a ribbon knot is bounded below by its doubly slice genus

15:00-15:20 Oguz Savk, CNRS
Embeddings of homology spheres in sums of complex projective planes

Week 2 (24-28 June 2024):

Applications of Heegaard Floer homology - Marco Golla, CNRS, Laboratoire Jean Leray, Nantes

Lecture videos 1 - 2 - 3 - 4
Foam lectures on link homologies - Emmanuel Wagner, Institut de Mathématiques de Jussieu-Paris Rive Gauche

Lecture videos 1 - 2 - 3 - 4

Khovanov invariants via immersed curves - Liam Watson, Univ. British Columbia

Lecture videos 1 - 2 - 3 - 4, Exercises

Short talks of June 27

11:00-11:20 Mikhail Chernavskikh, Steklov Mathematical Institute [Moscow]
Rectangular diagrams of taut foliations in knot complements

11:30-11:50 Diego Santoro, University of Wien
Taut foliations from knot diagrams

14:00-14:20 Naageswaran Manikandan, Humboldt Universität zu Berlin, Berlin Mathematical School
Khovanov homology of positive links

14:30-14:50 Subhankar Dey, Durham University
Information from knot/link Floer homology of a link and how to use them

15:00-15:20 Filippo Bianchi, Dipartimento di Matematica [Pisa]
Spin mapping class groups and 4-manifolds

Week 3 (1-5 July2024) - AlMaRe conference - Series of lectures:

On the properties of quantum representations of mapping class groups of surfaces - Renaud Detcherry, Université de Bourgogne, Dijon

Lecture videos 1 - 2 - 3 - 4

The topology of the mapping class group and its Torelli subgroup - Andrew Putman, University of Notre-Dame

Lecture videos 1 - 2 - 3 - 4, Additional talk, The Steinberg representation, video

Homological stability and stable homology - Christine Vespa, Université d’Aix-Marseille

Lecture videos 1 - 2 - 3

Week 3 (1-5 July 2024) - AlMaRe conference talks :

Profinite Rigidity and Colorings by Finite Quandles - Jacques Darné, Université de Picardie Jules Verne, Amiens, video

Non-semisimple quantum representations of mapping class groups - Marco De Renzi, Institut Montpelliérain Alexander Grothendieck, video

Mapping class groups and 4-manifolds - Louis Funar, Institut Fourier, video

Stable homology of the IA-automorphism group - Mai Katada, Kyushu University, video

Automorphism groups of Artin groups of spherical type - Luis Paris, Université de Bourgogne, Dijon, video

Finite groups of outer automorphisms of right-angled Artin groups - Karen Vogtmann, University of Warwick, video

Here is the pattern of the schedule for the first two weeks:

Monday: reception of participants (8:45 a.m. to 9:30 a.m.), three one-hour lectures (9:30 a.m. to 10:30 a.m., 11:00 a.m. to 12:00 p.m., 2:00 p.m. to 3:00 p.m.), a time for informal discussions and/or tutorials from 3:30 p.m. to 6 p.m.
Tuesday : three one-and-a-half-hour lectures (8:30 a.m. to 10:00 a.m., 10:30 a.m. to 12:00 p.m., 2:00 p.m. to 3:30 p.m.), a time for informal discussions and/or tutorials from 4:00 p.m. to 6 p.m.
Wednesday : two one-and-a-half-hour lectures (8:30 a.m. to 10:00 a.m., 10:30 a.m. to 12:00 p.m.), free afternoon.
Thursday : one one-and-a-half-hour lecture (9:00 a.m. to 10:30 a.m.), 5 short talk slots (11:00-11:20 , 11:30-11:50 a.m., 2-2:20, 2:30-2:50, 3-3:20 p.m.), a time for informal discussions and/or tutorials from 4:00 p.m. to 6:00 p.m., followed by a dinner buffet.
Friday : three final one-hour lectures (9:00 a.m. to 10:00 a.m., 10:30 a.m. to 11:30 p.m., 2:00 p.m. to 3:00 p.m.), a time for informal discussions from 4:00 p.m. to 6 p.m.

The third week, in a "conference" format, will be scheduled as follows:

Monday: welcome of participants (8:45-9:30), three one-hour lessons (9:30-10:30, 11:00-12:00,14:00-15:00), a one-hour presentation (15:30-16:30).
Tuesday: three one-hour lessons (9:30-10:30, 11:00-12:00,14:00-15:00), a one-hour presentation (15:30-16:30).
Wednesday: three one-hour lessons (9:30-10:30, 11:00-12:00,14:00-15:00), a one-hour presentation (15:30-16:30), followed by a dinner buffet.
Thursday: three one-hour lessons (9:30-10:30, 11:00-12:00,14:00-15:00), a one-hour presentation (15:30-16:30).
Friday: two one-hour presentations (9.30-10.30, 11.00-12.00).

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