Joint working group in noncommutative geometry and topology of Charles University and the Institute of Mathematics of the Czech Academy of Sciences
Welcome to NCG&T Prague
What is noncommutative geometry and topology? The idea stems from the Gelfand theorem which states that the category of compact Hausdorff spaces and commutative C*-algebras are dual. If we drop the condition of commutativity from our C*-algebras, we arrive at the notion of a noncommutative topological space. This can be carried further into the realm of noncommutative of geometry by equipping *-algebras with geometric structures.
Our research focusses on both quantum algebraic and operator algebraic aspects of noncommutative geometry and topology. This includes research in Hopf algebras, quantum groups, and noncommutative complex geometry, while on the operator algebra side, we study C*-algebras, with particular focus on C*-algebras arising from dynamical constructions such as minimal actions, groupoids, and semigroups.
Partially supported by GAČR project 20-17488Y Applications of C*-algebra classification: dynamics, geometry, and their quantum analogues and PRIMUS grant Spectral Noncommutative Geometry of Quantum Flag Manifolds.
NCG&T group members
- Ali Asadi-Vasfi
- Tristan Bice
- Arnab Bhattacharjee
- Suvrajit Bhattacharjee
- Laurent Cantier (joint with UAB)
- Alessandro Carotenuto
Eduard Vilalta 21.03.22-30.03.22
Jonathan Taylor 21.03.22-26.03.22
Sophie Emma Mikkelsen 03.04.22-17.04.22
NCG&T Seminar. Tuesdays at 16:00, Žitná 25, blue seminar room, back building and online via Zoom.
Previous talks: NCG&T Youtube Channel.
18 January 2022. No Seminar.
11 January 2022. Cancelled.
Malý seminar. Our working seminar, with the occasional research talk (“Velký pátek”) thrown in. Fridays at 16:00, Žitná 25, blue seminar room, back building.
TBD Marzieh Forough Crossed product C*-algebras
Velký pátek 13 May 2022: Bartosz Kwaśniewski (Białystok).
Velký pátek 6 May 2022. Thomas Weber (Vercelli).
An introduction to the Cuntz semigroup. Laurent Cantier.
Thursday 21 April 2022: Historical background and the definition of the Cuntz semigroup and the category Cu.
KK-theory learning seminar.
8 April 2022: Suvrajit Bhattacharjee. Kasparov modules and constructions.
Suvrajit Bhattacharjee. Kasparov product and its properties.
Thursday 14 April 2022: Sophie Emma Mikkelsen (Odense). Cuntz’s and Higson’s approach and KK-equivalence.
Noncommutative Cartan subalgebras and inverse semigroup C*-dynamical systems
25 March 2022: Jonathan Taylor (Göttingen).
An introduction to compact quantum groups.
4 March 2022 Réamonn Ó Buachalla: Compact quantum group algebras
11 March 2022: Réamonn Ó Buachalla: Compact quantum groups.
18 March 2022: Daniel Gromada: Easy quantum groups.
26 November 2021: Brief introduction to Geometric Complexity Theory.
10 December 2021: Approaches to combinatorial characterisation of Kronecker coefficients using canonical bases of quantum groups.
Introduction to C*-algebraic K-theory. Bhishan Jacelon.
13 August 2021: Basic definitions of K_0 and K_1.
20 August 2021: Proof of Bott periodicity.
Introduction to Unbounded Operators. Fredy Díaz.
30 July 2021: Basic definitions and properties.
6 August 2021: The spectral theorem for self-adjoint operators.
Lie Theory for Dummies. Karmen Grizelj (Zagreb).
23 July 2021: Lie groups and algebras.
24 July 2021: Representations of Lie algebras.
Cantor minimal systems. Wednesdays at 15 (usually!). Žitná 25, small seminar room, front building
11 September 2020 13:00 (Friday): Eva Pernecka, The D_m invariant, Part 2.
2 September 2020: Eva Pernecka, The D_m invariant.
5 August 2020: Tristan Bice, Strong orbit equivalence.
30 July 2020 (Thursday): Marzieh Forough, The Bratteli–Elliott–Krieger theorem.
25 July 2020, 14:00 (Friday): Saeed Ghasemi, The invariant for Cantor minimal systems and AF relations II
8 July 2020: Saeed Ghasemi, The invariant for Cantor minimal systems and AF relations
25 June 2020: Tristan Bice, Étale groupoids slides
17 June 2020: Saeed Ghasemi, A summary of what we learned before the lockdown
11 March 2020: Marzieh Forough, Bratteli–Vershik systems
4 March 2020: Marzieh Forough, Cantor dynamical systems and Bratteli diagrams
115 67 Prague 1
186 75 Prague 8