Maria Yakerson
Welcome to my home page!
This semester I'm a postdoc at the Osnabrück University,
in the research group of Oliver
Röndigs and Markus Spitzweck.
The focus of our research group is motivic homotopy theory,
which applies powerful methods of algebraic topology
to shed light on mysteries of algebraic geometry.
I did my PhD under supervision of Marc Levine
at the
Duisburg-Essen University.
And here is a story how my PhD program started: Jail-dreaming
"The more I learned, the more conscious did I become of the fact that I was ridiculous. So that for me my years of hard work at the university seem in the end to have existed for the sole purpose of demonstrating and proving to me, the more deeply engrossed I became in my studies, that I was an utterly absurd person."
Fyodor Dostoevsky, The Dream of a Ridiculous Man
My News
- On 13th March I turned 25 and graduated! Here is my thesis.
- I organized a seminar in Osnabrück on "Norms in motivic homotopy theory" (after Tom Bachmann and Marc Hoyois).
- On 23rd April I will give a talk in the Lunch Topology Seminar of Münster University.
Title: The Gm-stabilization conservativity conjecture
Abstract: Classically, the functor from pointed spaces to the derived ∞-category of abelian groups, sending a space to its singular chain
complex, is conservative on simply connected spaces. This fact is an important tool in the unstable homotopy theory, since it reduces homotopy-theoretic questions to questions in
homological algebra, which are in general more accessible. In this talk, we discuss an analogous conjecture in motivic settings and our partial progress towards proving it. This is
joint work with Tom Bachmann.
- On 6th April I will give a talk in the conference "Algebro-Geometric and Homotopical Methods" at the Mittag-Leffler Institute.
Title: Encoding transfers in motivic homotopy theory
Abstract: Voevodsky’s approach to constructing the (derived) category of motives starts with introducing so called presheaves with
transfers. Later Calmès and Fasel added extra data of quadratic forms to this construction, by considering presheaves with Milnor-Witt transfers. We will show that these transfers are examples of
a more general construction of E-transfers, defined for any motivic ring spectrum E. We will also discuss relation of E-transfers with framed transfers, and some consequences for understanding
the category of E-modules. This is joint work with Elden Elmanto, Marc Hoyois, Adeel Khan and Vladimir Sosnilo.
Events
- On 6-10 May I will participate in the Reunion conference at the Mittag-Leffler Institute.
- On 10-14 June there will be the Final conference of our SFB in
Bonn.
- During 23-29 June I will take part in the "Algebraic K-theory"
workshop in Oberwolfach.
- During July 18-31 Elden, Marc, Adeel, Vova and I will be staying at IAS as Summer collaborators.
- ICM 2022 will happen in St. Petersburg, with visa-free entry for all participants!