Topology group


Topology seminars

 

Future talks


Date: 10th May 2024
Schedule: 16.00
Where: Room "Roberta Dal Passo", Via della Ricerca Scientifica 1, Math Department.
Title: "Analogs of Beilinson-Drinfeld's Grassmannian on a surface"
Speaker: Gabriele Vezzosi - Università di Firenze

Abstract: Beilinson-Drinfeld's Grassmannian on an algebraic curve is an important object in Representation Theory and in the Geometric Langlands Program. I will describe some analogs of this construction when the curve is replaced by a surface, together with related preliminary results. This is partly a joint work with Benjamin Hennion (Orsay) and Valerio Melani (Florence) , and partly a joint work in progress with Andrea Maffei (Pisa) and Valerio Melani (Florence).

This talk is part of the activity of the MIUR Excellence Department Projects MatMod@TOV.

Organizing Committee:
Paolo Salvatore - Coordinator (mail to contact)
Andrea Pizzi - PhD (mail to contact)


Date: 24th May 2024
Schedule: TBA
Where: TBA
Title: TBA
Speaker: Giovanni Paolini - Università di Bologna

Abstract: TBA

This talk is part of the activity of the MIUR Excellence Department Projects MatMod@TOV.

Organizing Committee:
Paolo Salvatore - Coordinator (mail to contact)
Andrea Pizzi - PhD (mail to contact)


Past talks


Date: 5th April 2024
Schedule: 14.30, Roma
Where: Room "Roberta Dal Passo", Via della Ricerca Scientifica 1, Math Department.
Title: "Homotopical methods in representation stability"
Speaker: Nicolas Guès - Université Paris 13

Abstract: For many known families of algebro-geometric objets indexed by natural numbers (the symmetric groups, the braid groups,...) a phenomenon known as homological stability happens : their homology Hd(Xn) becomes stationary when n goes to ∞. Sometimes, these objects are equipped with actions of the symmetric group Σn on Xn : in this context, the right notion of stability is that of representation stability introduced by Church and Farb in 2010. One main example is the family of ordered configuration spaces of manifolds, whose cohomology is known to be representation stable with explicit ranges. I will review in this talk the main ideas of representation stability and explain how we can take a homotopy-theoretic point of view on representation stability to generalize such stability theorems.

This talk is part of the activity of the MIUR Excellence Department Projects MatMod@TOV.

Organizing Committee:
Paolo Salvatore - Coordinator (mail to contact)
Andrea Pizzi - PhD (mail to contact)


Date: 22th March 2024
Schedule: 5pm Rome, 8am San Francisco
Where: Online seminar, link. Live streaming, Room d'Antoni, Via della Ricerca Scientifica 1, Math Department.
Title: "Capturing Brain dynamics using Topological Data Analysis"
Speaker: Manish Saggar - Stanford University

Abstract: Characterizing intrinsic and extrinsic transitions in cortical activity can provide an understanding of cognition, e.g., how the ebbs and flows of cognition are anchored in the transitions of neural activity. Further, such anchoring could facilitate better models for psychiatric disorders and provide novel avenues for cognitive enhancement. This talk explores how noninvasive neuroimaging, despite its inherent limitations, can be leveraged to anchor cognitive performance and psychiatric nosology into rich spatiotemporal dynamics. We propose using tools from Topological Data Analysis (TDA), especially Mapper, to tackle the inherent noise in noninvasive neuroimaging devices and for capturing and characterizing brain dynamics in healthy and patient populations.

This talk is part of the activity of the MIUR Excellence Department Projects MatMod@TOV.

Organizing Committee:
Paolo Salvatore - Coordinator (mail to contact)
Andrea Pizzi - PhD (mail to contact)