Project seminar — Moduli and Friends

Reports

• Annual report for 2021
• Annual report for 2022

Publications

• Martin Palmer, Ulrike Tillmann, Configuration-mapping spaces and homology stability
  Research in the Mathematical Sciences 8 (2021) no. 38
• Martin Palmer, Arthur Soulié, The Burau representations of loop braid groups
  Comptes Rendus. Mathématique 360 (2022) pp. 781-797
• Martin Palmer, Ulrike Tillmann, Point-pushing actions for manifolds with boundary
  To appear in Groups, Geometry, and Dynamics
  Preprint version available at arXiv:2007.11613
• Geoffroy Horel, Martin Palmer, Motivic homological stability of configuration spaces
  To appear in the Bulletin of the London Mathematical Society
  Preprint version available at arXiv:2007.13718
• Takuro Abe, Denis Ibadula, Anca Măcinic, On some freeness-type properties for line arrangements
  To appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
  Preprint version available at arXiv:2101.02150
• Jacques Darné, Martin Palmer, Arthur Soulié, When the lower central series stops
  To appear in the Memoirs of the American Mathematical Society
  Preprint version available at arXiv:2201.03542

Preprints

• Cristina Anghel, Martin Palmer, Lawrence-Bigelow representations, bases and duality
  arXiv:2011.02388
• Christian Blanchet, Martin Palmer, Awais Shaukat, Heisenberg homology on surface configurations
  arXiv:2109.00515
• Martin Palmer, Arthur Soulié, Topological representations of motion groups and mapping class groups – a unified functorial construction
  arXiv:1910.13423 (v4: 17.11.2021)
• Geoffroy Horel, Manuel Krannich, Alexander Kupers, Two remarks on spaces of maps between operads of little cubes
  arXiv:2211.00908
• Martin Palmer, Arthur Soulié, The pro-nilpotent Lawrence-Krammer-Bigelow representation
  arXiv:2211.01855
• Geoffroy Horel, Binomial rings and homotopy theory
  arXiv:2211.02349
• Martin Palmer, Xiaolei Wu, On the homology of big mapping class groups
  arXiv:2211.07470
• Martin Palmer, Ulrike Tillmann, Homology stability for asymptotic monopole moduli spaces
  arXiv:2212.11799
• Martin Palmer, Xiaolei Wu, Big mapping class groups with uncountable integral homology
  arXiv:2212.11942
• Anca Măcinic, On torsion freeness for the decomposable Orlik-Solomon algebra
  arXiv:2212.12275
• Joana Cirici, Geoffroy Horel, Formality of hypercommutative algebras of Kähler and Calabi-Yau manifolds
  arXiv:2302.08492
• Martin Palmer, Arthur Soulié, Polynomiality of surface braid and mapping class group representations
  arXiv:2302.08827

Talks at conferences

• Cristina Palmer-Anghel, "Coloured Jones and Alexander polynomials through Lagrangian intersections in configuration spaces", Homological and quantum invariants, CIRM, Marseille, 8–12 February 2021.
• Geoffroy Horel, "Homotopy theory of operads and the Grothendieck-Teichmüller group", Homotopic and Geometric Galois Theory, Mathematische Forschungsinstitut Oberwolfach, 7–13 March 2021.
• Cristina Palmer-Anghel, "Coloured Jones and Alexander polynomials unified through Lagrangian intersections in configuration spaces", BMC-BAMC: British Mathematical Colloquium, Glasgow, 6–9 April 2021.
• Martin Palmer-Anghel, "Representations of the Torelli group via the Heisenberg group", Workshop for Young Researchers in Mathematics, 20–21 May 2021.
• Geoffroy Horel, "Weight structures and formality" (mini-course of 3 talks), Higher Structures and operadic calculus, CRM, Barcelona, 21–25 June 2021.
• Cristina Palmer-Anghel, "Coloured Jones and Alexander polynomials unified through Lagrangian intersections in configuration spaces", Remote Rendezvous for Quantum Topologists, 9–13 August 2021.
• Cristina Palmer-Anghel, "Coloured Jones and Alexander polynomials unified through Lagrangian intersections in configuration spaces", Perspectives on quantum link homology theories, Regensburg, 9–13 August 2021.
• [*] Martin Palmer-Anghel, "Mapping class group representations via Heisenberg homology", Réunion annuelle du GDR de topologie algébrique, Strasbourg, 26–29 October 2021.
• Cristina Palmer-Anghel, "Coloured Jones and coloured Alexander polynomials unified by a graded Lagrangian intersection", Quantum Field Theories and Quantum Topology Beyond Semisimplicity, Banff International Research Station, Alberta, 1–5 November 2021.
• Cristina Palmer-Anghel, "U_q(sl(2))-invariants quantiques via l’intersection de deux lagrangiennes dans une puissance symétrique d’une surface", Nantes-Orsay seminar on symplectic and contact geometry, Paris-Saclay, 18–19 November 2021.
• [*] Cristina Palmer-Anghel, "Coloured Jones and Alexander polynomials unified through Lagrangian intersections in configuration spaces", Fall Southeastern Sectional Meeting, University of South Alabama, 20–21 November 2021.

The symbol [*] indicates that participation was financially supported by the grant.

Invited talks at seminars

• Cristina Palmer-Anghel, "Coloured Jones and Alexander polynomials unified through Lagrangian intersections in configuration spaces", Topology Seminar, Stanford, 16 February 2021.
• Cristina Palmer-Anghel, "Coloured Jones and Alexander polynomials unified through Lagrangian intersections in configuration spaces", Séminaire d'algèbre et de géométrie, Caen, 11 May 2021.
• Cristina Palmer-Anghel, "The Witten-Reshetikhin-Turaev invariants for 3-manifolds as state sums of Lagrangian intersections", Knot theory seminar, Warsaw, 28 May 2021.
• Cristina Palmer-Anghel, "Coloured Jones and Alexander polynomials unified through Lagrangian intersections in configuration spaces", Séminaire AGATA, Montpellier, 3 June 2021.
• Cristina Palmer-Anghel, "U_q(sl(2))-quantum invariants for links and 3-manifolds from Lagrangian intersections in configuration spaces", Knots and Representation Theory Seminar, Moscow, 19 July 2021.
• Cristina Palmer-Anghel, "Renormalized Witten-Reshetikhin-Turaev invariants and M-traces associated to the super quantum group U_q(sl(m|n)) at roots of unity", CUNY Representation Theory Seminar, New York, 1 October 2021.
• Martin Palmer-Anghel, "On homological representations of mapping class groups", Algebra/Topology seminar, Copenhagen, 8 October 2021.
• Cristina Palmer-Anghel, "Coloured Jones and Alexander polynomials unified through Lagrangian intersections in configuration spaces", Caltech geometry and topology seminar, Pasadena, 22 October 2021.
• Cristina Palmer-Anghel, "U_q(sl(2))-quantum invariants for links and 3-manifolds from Lagrangian intersections in configuration spaces", Quantum topology seminar, Indiana University Bloomington, 25 October 2021.
• Geoffroy Horel, "Tour de Goodwillie-Weiss algébrique et invariants de nœuds type fini", Séminaire de topologie algébrique, UCLouvain, 16 November 2021.
• Cristina Palmer-Anghel, "Coloured Jones and coloured Alexander invariants from two Lagrangians intersected in a symmetric power of a surface", [K-OS] Knot Online Seminar, CNRS/Paris/Regensburg, 2 December 2021.
• Cristina Palmer-Anghel, "U_q(sl₂)-quantum invariants via the intersection of two Lagrangians in a symmetric power of a surface", Séminaire de topologie algébrique, UCLouvain, 7 December 2021.
• Cristina Palmer-Anghel, "Coloured Jones and coloured Alexander invariants from two Lagrangians intersected in a symmetric power of a surface", Knots and representation theory seminar, Moscow, 24 January 2022.
• Cristina Palmer-Anghel, "Coloured Jones and coloured Alexander invariants from two Lagrangians intersected in a symmetric power of a surface", Geometry and Topology seminar, Michigan State University, 8 February 2022.
• Martin Palmer-Anghel, "Mapping class group representations via Heisenberg, Schrödinger and Stone-von Neumann", Fudan Topology Seminar, Shanghai, 10 March 2022.
• Martin Palmer-Anghel, "Mapping class group representations via Heisenberg, Schrödinger and Stone-von Neumann", Topology seminar, New York University, Abu Dhabi, 30 March 2022.

Scientific visits of team members

• Martin Palmer-Anghel, visit to Merton College, Oxford from 14 June to 9 July 2021.
• Martin Palmer-Anghel, visit to the University of Copenhagen from 5 to 8 October 2021.
• Martin Palmer-Anghel, visit to Université de Genève from 28 November to 23 December 2021.
• Martin Palmer-Anghel, visit to the American University of Sharjah from 27 March to 2 April 2022.
• Martin Palmer-Anghel, visit to the University of Glasgow from 6 to 9 June 2022.

Scientific visits (invited guests at IMAR)

• Arthur Soulié (University of Glasgow) from 26 to 29 July 2022.

Posters at conferences

• Martin Palmer-Anghel, "On homological stability for configuration-section spaces", BMC-BAMC: British Mathematical Colloquium, Glasgow, 6–9 April 2021 — [link]
• Martin Palmer-Anghel, "On homological stability for configuration-section spaces", Manifolds and K-theory: the legacy of Andrew Ranicki, Edinburgh, 21–25 June 2021 — [link]

Participation in conferences and workshops
(other than those listed further above)

• Anca Măcinic, Logarithmic Vector Fields and Freeness of Divisors and Arrangements: New perspectives and applications, Mathematische Forschungsinstitut Oberwolfach, 24–30 January 2021.
• Martin Palmer-Anghel, Homological and quantum invariants, CIRM, Marseille, 8–12 February 2021.
• Cristina Palmer-Anghel, Workshop for Young Researchers in Mathematics, 20–21 May 2021 (co-organiser).
• Martin Palmer-Anghel, Perspectives on quantum link homology theories, Regensburg, 9–13 August 2021.
• Martin Palmer-Anghel, Workshop: "Cohomology of Arithmetic Groups: Duality, Stability, and Computations", Banff International Research Station, Alberta, 10–15 October 2021.
• Geoffroy Horel, Réunion annuelle du GDR de topologie algébrique, Strasbourg, 26–29 October 2021.
• Martin Palmer-Anghel, Workshop: "Homology and homotopy of configuration spaces", Copenhagen, 15–19 November 2021.