Guglielmo Nocera
Research groups
Factorization algebras (2023/2024, online. With Carlo Buccisano, Šarūnas Kaubrys, Alexey Latyntsev, Hugo Pourcelot).
Reading seminars
Upcoming: Cobordism hypothesis and tangle hypothesis (to be determined, LAGA Université Paris XIII, co-organizer). Please contact me if you are interested!
Factorization homology (Spring 2023, LAGA Université Paris XIII, co-organizer).
This was a reading seminar based on Derived Algebraic Geometry X by Jacob Lurie, and organised by Federico Conti, Julian Demeio, Michele Pernice,
Morena Porzio and
myself. It ran from December 2020 to July 2021.Introduction to formal moduli problems
(2020-2021, Scuola Normale Superiore and University of Pisa, co-organizer).
In this course we introduced the necessary background (starting from basics in deformation theory and ∞-category theory) to understand the link between differentially graded Lie algebras and formal moduli
problems, as exposed in Lurie's note, Theorem 2.0.2.
Bibliography:
[Calaque-Grivaux] Damien Calaque and Julien Grivaux, Formal
moduli problems and formal derived stacks, 2019
[DAG X] Jacob Lurie, Derived Algebraic
Geometry X , 2011
[Gepner] David Gepner, An introduction to Higher Categorical
Algebra, 2019
[HA] Jacob Lurie, Higher Algebra,
2017
[Hovey] Mark Hovey, Model Categories, AMS, Mathematical Monographs and Surveys 63, 1999
[HTT] Jacob Lurie, Higher Topos Theory, Princeton University Press, 2009
[Porta-Vezzosi] Mauro Porta and Gabriele Vezzosi, Infinitesimal
and square-zero extensions of simplicial algebras, 2013
[Pridham] J.P. Pridham, Unifying derived deformation
theories, Advances in Mathematics, 2010
[Toën] Bertrand Toën, Problèmes
de modules formels, Séminaire Bourbaki, 2016
Fourier-Mukai transforms in Algebraic Geometry (2018-2019, Scuola Normale Superiore and University of Pisa, co-organizer).