Scandinavian Operator Algebra Workshop (ScaOAW)
Scandinavian Operator Algebra Workshop (ScaOAW)
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The next Scandinavian Operator Algebra Workshop will take place June 8-9, 2026 in Lund.
The next Scandinavian Operator Algebra Workshop will take place June 8-9, 2026 in Lund.
Information about the next Scandinavian Operator Algebra Workshop
Information about the next Scandinavian Operator Algebra Workshop
This meeting of the Scandinavian noncommutative geometers and operator algebraists is going take place at Lund University during 8th to 9th of June 2026.
The talks will be in the seminar room MH:333, located on the third floor of the Centre for Mathematical Sciences at Lund University.
The workshop dinner (at your own expense) is at Ölkällaren, close to the train station.
Make sure to register on this link before 25th of May! This is s we know how much coffee to order and tables to reserve for dinner.
Possible hotels to choose from in Lund are Elite Hotel Ideon (close to department), Hotel Lundia and Hotel Bishops Arms (close to train/tram).
Travelling in Lund: Inside Lund there are buses and a tram system, with only one tram line. The trams starting from the train station in Lund takes 5 minutes to the stop LTH (just next to the mathematics department). The trams run every 10-20 minutes until midnight. You can buy tickets on the tram/bus with a credit card or the Skånetrafiken app. For time tables, see the following link.
Monday, June 8
Monday, June 8
Room: MH:333
Room: MH:333
13.30-14.15: Kang Li (Lund University)
13.30-14.15: Kang Li (Lund University)
Title: Dimension theories from groupoids to classifiable C*-algebras, and back again
Title: Dimension theories from groupoids to classifiable C*-algebras, and back again
Abstract:
Abstract:
The motivation comes from the spectacular breakthrough in the Elliott classification program for simple nuclear C*-algebras: the class of all separable, simple, finite nuclear dimensional C*-algebras satisfying the UCT is classified by their Elliott invariants. Shortly after, Xin Li proved that those classifiable C*-algebras have a twisted étale groupoid model (G, Σ). A natural question is which twisted étale groupoid C*-algebras have finite nuclear dimension. Very recently, Bönicke and I have extended the previous results to show that their nuclear dimensions are bounded by the dynamic asymptotic dimension of the underlying groupoid G and the covering dimension of its unit space G0, and are actually independent of Σ. The essential flaw is that dynamic asymptotic dimension cannot be consistent with nuclear dimension for simple C*-algebras because every simple C*-algebra with finite nuclear dimension has nuclear dimension either zero or one. Therefore, we (together with Liao and Winter) introduced the so-called diagonal dimension for an inclusion (D ⊆ A) of C*-algebras. In this talk, I will explain how the diagonal dimension of (C0(G0)⊆ Cr*(G,Σ)) is indeed consistent with dynamic asymptotic dimension of G and the covering dimension of G0. Moreover, we compute the diagonal dimension and the dynamic asymptotic dimension for Xin Li's groupoid model. This is joint work with Christian Bönicke, as well as Zehong Huang and Hang Wang.
14.15-15.00 Coffee break
14.15-15.00 Coffee break
15.00-15.45: David Jekel (University of Copenhagen)
15.00-15.45: David Jekel (University of Copenhagen)
Title:
Abstract: Click to expand →
Title:
Abstract: Click to expand →
Abstract:
Abstract:
16.15-17.00: Makoto Yamashita (University of Oslo)
16.15-17.00: Makoto Yamashita (University of Oslo)
Title: Higher sheaves behind representable KK-theory and the Chern character
Abstract: Click to expand →
Title: Higher sheaves behind representable KK-theory and the Chern character
Abstract: Click to expand →
Abstract:
Abstract:
The triangulated category whose objects are C*-algebras over a locally compact space X, and morphism spaces are Kasparov’s representable KK-groups, can be upgraded to a stable infinity category. The map spaces from this construction form a spectrum-valued sheaf on X. This fits into the six-functor formalism for étale groupoids G when we take X to be the nerves of G. When G is a torsion-free étale groupoid satisfying the Baum-Connes conjecture with coefficients, this correspondence leads to a rational isomorphism between the K-groups of crossed product C*-algebras A x G and the groupoid hyperhomology over G (a variation of Matui's “HK conjecture”). This specializes to the classical Chern character isomorphism if G = X, a space as a groupoid, and A = C_0(X). Based on a joint work in progress with Valerio Proietti.
18.30 Dinner
18.30 Dinner
Tuesday, June 9
Tuesday, June 9
Room : MH:333
Room : MH:333
9.00-9.45: Olof Giselsson (Chalmers and University of Gothenburg)
9.00-9.45: Olof Giselsson (Chalmers and University of Gothenburg)
Title:
Abstract: Click to expand →
Title:
Abstract: Click to expand →
Abstract:
Abstract:
10.00-10.45: Matteo Pagliero (University of Southern Denmark)
10.00-10.45: Matteo Pagliero (University of Southern Denmark)
Title:
Abstract: Click to expand →
Title:
Abstract: Click to expand →
Abstract:
Abstract:
10.45-11.15 Coffee break
10.45-11.15 Coffee break
11.15-12.00: Ada Masters (Lund University)
11.15-12.00: Ada Masters (Lund University)
Title:
Abstract: Click to expand →
Title:
Abstract: Click to expand →
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Abstract:
Current organizers and contact:
Current organizers and contact:
Chalmers/University of Gothenburg
Chalmers/University of Gothenburg
Lyudmila Turowska
University of Copenhagen:
University of Copenhagen:
Søren Eilers
Lund University:
Lund University:
Magnus Goffeng [magnus dot goffeng (at) math dot lth dot se (responsible for the homepage)]
University of Southern Denmark (Odense):
University of Southern Denmark (Odense):
Kevin Aguyar Brix
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