07.11.2017 um 14:15 Uhr in 69/E15:
Martin Frankland (Universität Osnabrück)
Towards the dual motivic Steenrod algebra in positive characteristic
14.11.2017 um 14:15 Uhr in 69/E15:
Manfred Stelzer (Universität Osnabrück)
Andre-Quillen cohomology and simplicial coalgebras
28.11.2017 um 12:15 Uhr in 69/E15:
Dr. Peter Arndt (Heinrich-Heine-Universität Düsseldorf)
From GAG to NAG: On Durov's and Haran's approaches to F1-geometry
I will give a quick introduction to Durov's "Generalized Algebraic Geometry" (GAG) and Haran's "Non-additive Geometry" (NAG), both of which are generalizations of algebraic geometry in which one glues more general objects than rings. I will present the compactifications of Spec Z that both authors construct. There is an inclusion from Durov's into Haran's F1-schemes, known to both authors. I will construct a left adjoint to this inclusion and compute it for Haran's compactification of Spec Z.
28.11.2017 um 14:15 Uhr in 69/E15:
Dr. Frederico Binda (Universität Regensburg)
Cycles with modulus, regulators and applications
In this talk we will survey some recent results involving the so-called (higher) Chow groups with modulus for a pair (X,D), where X is a smooth variety over a field k and D is a (possibly non reduced) effective Cartier divisor on X, generalizing Bloch-Esnault additive Chow groups studied by Rülling, Park and Krishna as well as the Chow groups of zero cycles with modulus introduced by Kerz and Saito. These groups are a modified version of Bloch's higher Chow groups and are related to several non A1-homotopy invariant objects.
This is a joint work with Shuji Saito.
05.12.2017 um 14:15 Uhr in 69/E15:
Glen M. Wilson (Universitetet Oslo)
Motivic homotopy groups of spheres over finite fields
12.12.2017 um 14:15 Uhr in 69/E15:
Paul Arne Østvær (University of Oslo)
Motivic Landweber exact theories and etale cohomology
19.12.2017 um 14:15 Uhr in 69/E15:
Arun Kumar (Universität Osnabrück)
09.01.2018 um 14:15 Uhr in 69/E15:
Hadrian Heine (Universität Osnabrück)
Infinity categories with duality
16.01.2018 um 14:15 Uhr in 69/E15:
Toan M. Nguyen (Universität Osnabrück)
Orbifold motivic cohomology and K-theory
In this talk, I will discuss about new algebraic invariants for algebraic orbifolds: orbifold motivic cohomology and K-theory. These invariants come out as a consequence of the obstruction bundles and the virtual fundamental classes in Gromov-Witten theory. I will also explain how these invariants relate to motivic cohomology and K-theory of (crepant) resolutions of singularities of the coarse moduli spaces of orbifolds.