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NCG&T

Joint working group in noncommutative geometry and topology of Charles University and the Institute of Mathematics of the Czech Academy of Sciences


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Welcome to NCG&T Prague

STATEMENT ON THE WAR IN UKRAINE

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.

Postdoc Position at the Institute of Mathematics of the Czech Academy of Sciences


Group Members


NCG&T group members

Visitors

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


Seminars


NCG&T Seminar. Tuesdays at 16:00, Žitná 25, blue seminar room, back building and online via Zoom.


Previous talks: NCG&T Youtube Channel.

24 May 2022. Alcides Buss.

Friday 13 May 2022. Bartosz Kwaśniewski.

10 May 2022. Bence Horváth.

Friday 6 May 2022: Thomas Weber.

3 May 2022. Simon Lentner.

26 April 2022. Alessandro Vignati.

12 April 2022. Sophie Emma Mikkelsen.

19 April 2022. Easter break.

5 April 2022. Suvrajit Bhattacharjee

29 March 2022.  Eduard Vilalta.

22 March 2022. Jonathan Taylor.

15 March 2022. Branimir Ćaćić.

8 March 2022. Andrew Stocker.

1 March 2022. Alessandro Carotenuto.

22 February 2022. Amaury Freslon.

22 February 2022. Karmen Grizelj.

15 February 2022. Nicola Ciccoli.

8 February 2022. Sugato Mukhopadhyay.

1 February 2022. Marzieh Forough.

25 January 2022. Andrey Krutov.

18 January 2022. No Seminar.

11 January 2022. Cancelled.

7 December 2021. Frédéric Latrémolière.

30 November 2021. Jens Kaad.

23 November 2021. Becky Armstrong.

16 November 2021. Ilan Hirshberg.

9 November 2021. Réamonn Ó Buachalla.

2 November 2021. Henrik Winther.

26 October 2021. Paolo Saracco.

19 October 2021. Tristan Bice.

5 October 2021. Fredy Díaz.

15 June 2021. Tomasz Brzeziński.

8 June 2021. Rita Fioresi.

1 June 2021. Goncalo Tabuada.

25 May 2021. M. Ali Asadi-Vasfi.

18 May 2021. Bhishan Jacelon.

11 May 2021. Mike Whittaker.

4 May 2021. Laurent Cantier.

27 April 2021, 17:30 CEST. Benjamin Steinberg.

20 April 2021. Alexandru Chirvasitu.

13 April 2021. Zahra Hasanpour-Yakhdani and Ali Raad.

6 April 2021. Daniel Gromada.

30 March 2021. Jacopo Bassi.

23 March 2021. Volodymyr Mazorchuk.

16 March 2021. Mehrdad Kalantar.

9 March 2021. Adam Magee and Sofie Emma Mikkelsen.

2 March 2021. Ingrid Beltiţă.

25 February 2021. Angela Tabiri.

16 February 2021. Anshu and Sugato Mukhopadhyay.

9 February 2021. Shahn Majid.

2 February 2021. Wilhelm Winter.

26 January 2021. Marzieh Forough.

19 January 2021. Zhaoting Wei.

12 January 2021. Branimir Ćaćić.

15 December 2020. Marco Matassa.

8 December 2020. Shirly Geffen.

1 December 2020. Jonathan Brown.

24 November 2020. Hannes Thiel.

17 November 2020. Robert Yuncken.

10 November 2020. Lara Ismert.

3 November 2020. Bart Vlaar.

27 October 2020. Konrad Aguilar.

20 October 2020. Alessandro Carotenuto.

C*-algebras and Groupoids online course.

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


Previously:

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.

29 April 2022: Properties of objects in CU. Classification results using the Cuntz semigroup.


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.


An approach to separation of complexity classes VP and VNP based on representation theory. Fedor Part.

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.


3 December 2021. N. Christopher Phillips. Mean dimension and the radius of comparison of crossed products.


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

NCG&T Prague

Contact us

praguencgt@gmail.com

Žitná

Žitná 25
115 67 Prague 1
(Nové Město)

Karlín

Sokolovská 83
186 75 Prague 8
(Karlín)

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