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Abstracts for Virtual ICM 2022. Live stream and in person talks at the Max Planck Institute for Mathematics

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From statistical to causal learning

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Speaker: 
Bernhard Schölkopf
Affiliation: 
MPI for Intelligent Systems, Tübingen
Date: 
Mon, 11/07/2022 - 14:15 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Virtual ICM 2022. Live stream and in person talks at the Max Planck Institute for Mathematics

We describe basic ideas underlying research to build and understand artificially intelligent systems: from symbolic approaches via statistical learning to interventional models relying on concepts of causality. Some of the hard open problems of machine learning and AI are intrinsically related to causality, and progress may require advances in our understanding of how to model and infer causality from data.

https://icm2022.abstractserver.com/program/#/details/sessions/207

Motivic Cohomology: past, present and future

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Speaker: 
Marc Levine
Affiliation: 
Universität Duisburg-Essen
Date: 
Tue, 12/07/2022 - 14:15 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Virtual ICM 2022. Live stream and in person talks at the Max Planck Institute for Mathematics

I will give a brief overview of the development of motivic cohomology, its parallels with singular cohomology and its place in motivic stable homotopy theory. I will then describe some of the recent off-shoots of motivic cohomology: cycles with modulus, Chow-Witt theory, and motivic filtrations on p-adic K-theory, and conclude with some speculations on future developments.

 

https://icm2022.abstractserver.com/program/#/details/sessions/211

The beauty of braids - from knot invariants to higher categories

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Speaker: 
Catharina Stroppel
Affiliation: 
Universität Bonn
Date: 
Wed, 13/07/2022 - 10:15 - 11:15
Location: 
MPIM Lecture Hall
Parent event: 
Virtual ICM 2022. Live stream and in person talks at the Max Planck Institute for Mathematics

Via different perspectives on braids we indicate how the search for topological invariants leads to crucial developments in representation theory and to speculations on higher topological invariants and TQFTs.

 

https://icm2022.abstractserver.com/program/#/details/sessions/55

 

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