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Events
Mathematics in the Sciences Day

MPI für Mathematik in den Naturwissenschaften Leipzig

E1 05 (Leibniz-Saal)

conference

01/10/2021 01/10/2021

Mathematics in the Sciences Day

Our institute was founded 25 years ago, on October 1, 1996. We celebrate this anniversary with a special one-day symposium whose title matches the institute's name "Mathematics in the Sciences".

Three lectures highlight our mission: interactions between mathematics and the sciences, in both directions. Theories developed in mathematics turn out to be exactly what is needed in the sciences, and scientific challenges from applications often give rise to fascinating mathematical methods and concepts.

Due to current Corona regulations, on-site participation is limited to invited participants. However, everyone is invited to register and follow the online broadcast of the event.

Program

11:00 - 11:30	Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany) Welcome address
11:30 - 12:30	Wilderich Tuschmann (Karlsruher Institut für Technologie, Germany) Moduli Spaces of Metrics in Geometry and Physics Consider a smooth manifold with a Riemannian metric satisfying some sort of curvature or other geometric constraint like, for example, positive scalar curvature, non-negative Ricci or negative sectional curvature, being Einstein, Kähler, Sasaki, of special holonomy, etc. A natural question to ponder, which is also of relevance in parts of physics like general relativity, string and mirror symmetry, is then what the space of all such metrics does look like. Moreover, one can also study this question for corresponding moduli spaces of metrics, i.e., for quotients of the former by (suitable subgroups of) the diffeomorphism group of the manifold, acting by pulling back metrics. These spaces are customarily equipped with the topology of smooth convergence on compact subsets and the quotient topology, respectively, and their topological properties hence provide the right means to measure 'how many' different metrics and ' how many' geometries the given manifold actually does exhibit. In my talk, I will report on some general results and open questions about the global structure and topology of such spaces and moduli spaces, with a focus on Ricci flat and non-negative Ricci or sectional curvature metrics, since these play important roles in both Riemannian and complex geometry as well as in the investigation of Calabi-Yau manifolds and their metric degenerations under collapse. Moreover, if time permits, I will also discuss broader non-traditional approaches from metric geometry and analysis to these objects under the presence of lower curvature bounds, and the Lorentzian instead of Riemannian setting.
13:30 - 14:30	Angkana Rüland (Universität Heidelberg, Germany) (In-)Stability in Inverse Problems In the study of inverse problems one seeks to recover information on an object from indirect measurements. Often these problems thus arise as the inverses of well-posed direct problems from the natural sciences or medicine. As a consequence, in many interesting settings, these problems are notoriously ill-posed. In this talk, I discuss the origins and several mechanisms leading to corresponding instabilities. This is based on joint work with H. Koch (Bonn) and M. Salo (Jyväskylä).
15:00 - 16:00	Mathias Drton (Technische Universität München, Germany) Latent Variable Models in Statistics In statistical terminology, a latent variable is a variable that is part of a studied system but for which no measurements can be obtained. Latent variable models are statistical models that account for such variables in their specification. While these models allow one to correct for the effects of latent variables, they lead to complicated dependencies among the observed variables. As a result, numerous challenges arise ranging from questions of parameter identifiability to model selection. In this talk we will discuss some of these challenges in the context of linear structural equation models, which exhibit algebraic-geometric structure that inspires solutions to the aforementioned statistical problems.
16:10 - 17:00	Meet the speaker

Participants

Sovan Acharya

SA Citizen Science Group

Haider Ali

COMSATS University Islamabad, Vehari Campus, Vehari, Punjab, Pakistan.

Shadab Ali

Jamia Millia Islamia, India

Camilo Alvarez

Camilo

Carlos Améndola

Technical University of Munich

Rolando Avila

Free researcher

Hamza BERGA

UM5R, Morocco

Arthur Bik

MPI Leipig

Hafiz Muhammad Bilal Bilal

Comsats University Islamabad Lahore Campus Pakistan

Tobias Boege

MPI-MiS Leipzig

Elamine Bouchti

universität Maresburg

Achraf BOUHMADY

Mohamed 5 University in Rabat

Judith Brinkschulte

Leipzig University

Sebastian Bürger

Leipzig University

Georgiana Chatzigeorgiou

Max Planck Institute for Mathematics in the Sciences

Elena Derunova

Max Planck Institute of Microstructure Physics

Fabio DI NOCERA

MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES

Joseph Dinda

Washtenaw Community College

Joe Dinda

Washtenaw Community College

Mathias Drton

Technische Universität München

Juan Edilberto

Technish Gruppe EIRL

Yassine El Maazouz

UC Berkeley

Diogo R. Ferreira

IST, University of Lisbon

Valerie Freund

Universität Leipzig

Raphael Garcia

Federal University of Sāo Paulo

Hans-Peter Gittel

Universität Leipzig

Rishabh Gvalani

MPI MIS

Shuhan Jiang

MPI MiS

Parvaneh Joharinad

MIS.MPG

Jürgen Jost

Max Planck Institute for Mathematics in the Sciences

David Kahle

Baylor University

Mark Kirstein

MPI MIS

Florian Kunick

MPI MIS

Philippe Kupper

KIT

Sunhyuk Lim

Max Planck Institute for Mathematics in the Sciences

Pablo Linares

Max Planck Institute for Mathematics in the Sciences

Hoang Duc Luu

Max Planck Institute for Mathematics in the Sciences

Nissan Maskil

Nini

Ekaterina Maximova

Technische Universität Dresden

Stephan Mescher

Martin-Luther-Universität Halle-Wittenberg

Raffaella Mulas

Max Planck Institute for Mathematics in the Sciences

Johannes Müller

MPI MiS

Eckehard Olbrich

Max Planck Institut für Mathematik in den Naturwissenschaften

Felix Otto

Max Planck Institute for Mathematics in the Sciences

Katerina Papagiannouli

Max Planck Institute MiS

Dominik Paul

University of Southampton

Arya Prasetya

Universität Leipzig

Ralfs Pundurs

University of Southampton

Hans-Bert Rademacher

Universität Leipzig

Rajitha Ranasinghe

University of Peradeniya

Nallely Jacqueline Reyes García

IPN

Sandra Ried

Leipzig University

Angkana Rüland

Universität Heidelberg

Anna-Laura Sattelberger

MPI MiS

Gabriel Sattig

Uni Leipzig

Daniel Schliewe

MPI MiS Leipzig

Javier Sendra

MPI MIS

Elima Shehu

The Max Planck Institute for Mathematics in the Sciences

Rainer Sinn

Universität Leipzig

Miruna-Stefana Sorea

SISSA, Trieste, Italy

Mima Stanojkovski

RWTH Aachen University / MPI MiS Leipzig

Maximilian Stegemeyer

MPI MiS Leipzig

Bernd Sturmfels

Max Planck Institute for Mathematics in the Sciences

Pavlos Tsatsoulis

Bielefeld University

Hanna Tseran

MPI for Mathematics in the Sciences

Wilderich Tuschmann

Karlsruher Institut für Technologie

Anna Wienhard

Heidelberg University

MARIUS EMAR YAMAKOU

Friedrich-Alexander-University of Erlangen-Nuremberg

Thomas Yeo

Universiti Sains Malaysia

Lei Yu

Tongji University

Gentian Zavalani

Helmholtz-Zentrum Dresden-Rossendorf/CASUS

Giulio Zucal

Max Planck Institute for Mathematics in the Sciences

Scientific Organizers

Bernd Sturmfels

Max Planck Institute for Mathematics in the Sciences

Felix Otto

Max Planck Institute for Mathematics in the Sciences

Jürgen Jost

Max Planck Institute for Mathematics in the Sciences

Administrative Contact

Jörg Lehnert

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Antje Vandenberg

Max Planck Institute for Mathematics in the Sciences Contact via Mail