Federica Bertolotti
Ph.D. at Scuola Normale Superiore (Pisa, Italy)
Advisor: Roberto Frigerio
Email: federica.bertolotti (at) sns.it
Research interests
My current interest is in topology and geometric group theory. In particular, I enjoy studying topological invariants of manifolds, such as triangulation complexity, (integral) simplicial volume, and bounded cohomology.
Conferences and Seminars
Together with Filippo Bianchi, Elena Bogliolo, Alessio Di Prisa, Giovanni Framba, Alice Merz, Diego Santoro, I am co-organizing the workshop "LiT II: Lost in Topology" that will take place in Pisa on September 17-20, 2024.
Together with Kevin Li and Matthias Uschold, I am co-organising an International Young Seminar on Bounded Cohomology and Simplicial Volume.
You are welcome to join any of these seminars!
Papers
(with Giuseppe Bargagnati, Pietro Capovilla, Francesco Milizia) The action of mapping class groups on de Rham quasimorphisms
Preprint available online: arXiv:2311.07728
(with Roberto Frigerio) Integral filling volume, complexity and integral simplicial volume of 3-dimensional mapping tori
Preprint available online: arXiv:2303.07730
(with Roberto Frigerio) Length functions on mapping class groups and simplicial volumes of mapping tori
Accepted in Annales de l'Institut Fourier. Preprint available online: arXiv:2205.10846
Homotopy Equivalences of 3-Manifolds
Preprint available online: arXiv:2207.05717
Talks and Seminars
25/01/2024 - Mapping Class Group Action on de Rahm Coclasses
IAG Seminars, Karlsruhe (Germany)
30/10/2023 - De Rham quasimorphisms, de Rham classes, and continuous functions on S¹
Seminar in Bologna (Italy)
17/10/2023 - Triangulation Complexity vs. Integral Simplicial Volume: Mind the Gap
Topology Seminars at the Ohio State University (Ohio)
21/06/2023 - Integral Simplicial Volume of 3-Manifolds fibering over the Circle
Research seminar in global analysis, Regensburg (Germany)
08/06/2023 - Two integral invariants of manifolds
Geometric Topology, Art, and Science - a conference in honour of Luigi Grasselli, Reggio Emilia (Italy)
27/04/2023 - Integral Simplicial Volume and Delta Complexity: find the differences
Geometry Seminar, Pisa (Italy)
23/03/2023 - Triangulation Complexity and Integral simplicial volume
Manifolds and groups in Bologna, Bologna (Italy)
27/09/2022 - Filling volumes of homotopy equivalences
Recent Advances in Bounded Cohomology, Regensburg (Germany)
21/09/2022 - Filling volumes and simplicial volume of mapping tori
Workshop on Topological Methods in Geometry, CRM, Barcelona (Spain)
06/06/2022 - Filling volume and simplicial volume of mapping tori
International young seminar on bounded cohomology and simplicial volume, online
19/05/2021 - Geometrically finite and infinite ends
Baby Geometri, Pisa (Italy)