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SS 2019

10.04.2019 um 14:15 Uhr in 69/E15:

J.D. Quigley (University of Notre Dame, USA)

The complex motivic kq-resolution

Mahowald calculated the 2-primary image of J and proved the Telescope Conjecture at height one using the bo-based Adams spectral sequence. I will discuss analogous applications in the complex motivic setting using the kq-based Adams spectral sequence, where kq is the very effective cover of hermitian K-theory. This is work in progress with Dominic Culver.

17.04.2019 um 14:15 Uhr in 69/E15:

Konrad Voelkel (Universität Osnabrück)

Introduction to "Norms in motivic homotopy theory"

24.04.2019 um 14:15 Uhr in 69/E15:

Maria Yakerson (Universität Osnabrück)

Construction of norms

02.05.2019 um 15:50 Uhr in 69/127:

Arun Kumar (Universität Osnabrück)

Coherence of norms

15.05.2019 um 14:15 Uhr in 69/E15:

Oliver Röndigs (Universität Osnabrück)

Normed motivic spectra

22.05.2019 um 14:15 Uhr in 69/E15:

Markus Spitzweck (Universität Osnabrück)

Normed equivariant spectra

12.06.2019 um 14:15 Uhr in 69/E15:

Manh Toan Nguyen (Universität Osnabrück)

Norms and motivic cohomology

19.06.2019 um 14:15 Uhr in 69/E15:

Alberto Navarro Garmendia (University of Zürich)

Recent developments in the Riemann-Roch theorem

In this talk we will review some classic questions posed by Grothendieck and others around the Riemann-Roch theorem. Afterwards, we will explain how the Riemann-Roch fits into Panin's orientation theory and how motivic homotopy theory and Gabber's work on absolute purity have developed the Riemann-Roch theorem. Finally, we will speak about the lift of the Riemann-Roch into integral coefficients.

24.07.2019 um 15:15 Uhr in 69/E15:

Martin Frankland (University of Regina, Canada)

The DG-category of secondary cohomology operations

In joint work with Hans-Joachim Baues, we study track categories (i.e., groupoid-enriched categories) endowed with additive structure similar to that of a 1-truncated DG-category, except that composition is not assumed right linear. We show that if such a track category is right linear up to suitably coherent correction tracks, then it is weakly equivalent to a 1-truncated DG-category. This generalizes work of Baues on the strictification of secondary cohomology operations. As an application, we show that the secondary integral Steenrod algebra is strictifiable.