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NCG&T

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


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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 PRIMUS grant Spectral Noncommutative Geometry of Quantum Flag Manifolds, GAČR project 20-17488Y Applications of C*-algebra classification: dynamics, geometry, and their quantum analogues and GAČR project 22-07833K Homogenita a generičnost a metrických struktur – grup, dynamických systémů, Banachových prostorů a C*-algeber.


Group Members


NCG&T group members

NCG&T News

Welcome to our newest member, Mauro Mantegazza!

Mauro Mantegazza has joined the NCG&T group at the Charles University as postdoc on the  PRIMUS grant Spectral Noncommutative Geometry of Quantum Flag Manifolds. Mauro completed his PhD thesis, An intrinsic approach to the c-map, at Università degli studi di Pavia, in Pavia (Italy) and Università degli studi di Milano-Bicocca in Milan (Italy), after which time heContinue reading “Welcome to our newest member, Mauro Mantegazza!”

Welcome to our newest member, Sophie Emma Zegers!

Sophie Emma Zegers has joined the NCG&T group as a Carlsberg Foundation Internationalization Postdoctoral Fellow. Sophie completed her PhD thesis, Structure and Symmetries in C*-algebras at Syddansk Universitet in Odense, Denmark, under the supervision of Wojciech Szymański and David Kyed. She studies both algebraic and analytic theories of noncommutative geometry such as compact quantum groups, HopfContinue reading “Welcome to our newest member, Sophie Emma Zegers!”

Postdoctoral position available as part of the grant “Spectral Noncommutative Geometry of Quantum Flag Manifolds “

Deadline: September 9th MIDNIGHT, Central European Summer Time (UTC+02:00) A postdoc position is available as part of Réamonn Ó Buachalla’s grant, Primus – Univerzita Karlova: Spectral Noncommutative Geometry of Quantum Flag Manifolds at the Mathematical Institute of Charles University in Prague. We are looking specifically for someone working on the noncommutative geometry of quantum groups.Continue reading “Postdoctoral position available as part of the grant “Spectral Noncommutative Geometry of Quantum Flag Manifolds “”

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Seminars


Our research seminar takes place every Tuesday at 16:00.

Our working seminar takes place every Friday at 15:00.

13 December 2022: Arnab Bhattacharjee, Charles University.

Arnab Bhattacharjee. Weak Expectations of Discrete Quantum Group Algebras and Crossed Products This talk will take place in the blue seminar room, back building Žitná 25, and on Zoom. Studying various finite-dimensional approximation properties such as nuclearity, exactness has become one of the central areas of investigation in the theory of C*-algebras. One of the naturalContinue reading “13 December 2022: Arnab Bhattacharjee, Charles University.”

6 December 2022: Ryan Aziz, Université libre de Bruxelles.

Ryan Aziz. Cross Product Exterior Algebras. This talk will take place in the blue seminar room, back building Žitná 25, and on Zoom. The first step in noncommutative Riemannian geometry by constructive approach, as develop by Beggs and Majid and many other collaborators, is to determine an exterior algebra of a given algebra in whichContinue reading “6 December 2022: Ryan Aziz, Université libre de Bruxelles.”

29 November 2022: Therese Basa Landry, Fields Institute.

Therese Basa Landry. Developments in Noncommutative Fractal Geometry. This talk will take place on Zoom. As a noncommutative fractal geometer, I look for new expressions of the geometry of a fractal through the lens of noncommutative geometry.  At the quantum scale, the wave function of a particle, but not its path in space, can beContinue reading “29 November 2022: Therese Basa Landry, Fields Institute.”

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)