RTG2491 Autumn School
"From T-duality via K-theory to representation theory"
September 30 to October 4, 2024
Registration is closed!The aim of the Autumn School is to bring together young researchers with experts in the research areas of T-duality, K-theory, representation theory and their interplay. The school consists of four mini-courses leading towards a broad understanding of the topic from different perspectives.
SPEAKERS
Francesca Arici (Leiden)
Marco Gualtieri (Toronto)
Nigel Higson (Penn State)
Konrad Waldorf (Greifswald)
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REGISTRATION
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POSTER
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TENTATIVE PROGRAMME
The titles of the mini-courses for the upcoming Autumn School are:Francesca Arici (Leiden)
Title: C*-algebras and (K)K-theory in solid-state physics
Abstract: TBA
Marco Gualtieri (Toronto)
Title: Groupoids, Gerbes and Generalized Kähler geometry
Abstract: Generalized Kahler geometry originated in the study of 2-dimensional sigma models in physics, although the special case of Kahler structures has received far more attention due to its relative simplicity and relation to algebraic geometry. In these lectures, I will explain how several of the strange aspects of Generalized Kahler geometry can now be explained geometrically through the use of U(1) Gerbes, Morita equivalences, T-duality of Courant algebroids, and symplectic stacks. Besides being useful for understanding generalized Kahler structures, these methods should be extended to other forms of generalized geometry arising from other physical theories.
Nigel Higson (Penn State)
Title: C*-algebra K-theory and Tempered Representation Theory
Abstract: These lectures will trace some recent developments that have brought together C*-algebra theory and unitary representation theory, particularly for real reductive Lie groups such as the special and general linear groups. I shall start with a short discussion of basic ideas in C*-algebras and K-theory. Then I shall explain how those ideas apply to the (reduced) C*-algebras of real reductive groups. Finally I shall explain how C*-algebra theory and K-theory have led to new perspectives in the tempered representation theory of real reductive Lie groups.
Konrad Waldorf (Greifswald)
Title: The higher geometry of T-duality Abstract: The aim of these lectures is to present T-duality through the lens of higher geometric structures, highlighting the advantages of this approach. We will begin with an introduction and motivation, touching on the string-theoretic origins of T-duality. Next, we will introduce key higher geometric structures and explore their relations to T-duality. Notably, we will revisit some foundational results by Bunke and Schick, showing how they can be reinterpreted using this framework. Finally, we will demonstrate how this perspective extends to cases previously addressed by Rosenberg and Mathai via non-commutative geometry. If time allows, we will briefly discuss further potential extensions to non-associative T-duality and T-folds.
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Poster Session
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TRAVEL AND ACCOMODATION
Here you will find information on how to get to and your stay in Göttingen.Arriving in Göttingen
Closest airports: Frankfurt Main International, Hannover
Göttingen is well connected via fast trains to most major cities in Germany. The travel time from Frankfurt is about 2h and from Hannover less than 1h.
Walking from the train station to the Mathematical Institut takes no more than 20 minutes passing through the town centre. Most hotels are in walking distance from the main building, however there is also a chance of using the buses.
Göttingen is well connected via fast trains to most major cities in Germany. The travel time from Frankfurt is about 2h and from Hannover less than 1h.
Walking from the train station to the Mathematical Institut takes no more than 20 minutes passing through the town centre. Most hotels are in walking distance from the main building, however there is also a chance of using the buses.
Hotels
Here is a list of recommended Hotels in Göttingen:
Leine Hotel
Eden Hotel
Hotel Central
G Hotel
Novostar
Hotel Stadt Hannover
Leine Hotel
Eden Hotel
Hotel Central
G Hotel
Novostar
Hotel Stadt Hannover
Map
Here is a map where you can find bus stops, sightseeing points and other information about Göttingen. The link is set to the Autumn School room, you can move freely within the map.
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