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The following notes grew out oflectures held during the DMV-Seminar on Random Media in November 1999 at the Mathematics Research Institute of Oberwolf...Savoir plus
The mathematical study of the Bose gas goes back to the ?rst quarter of the twentieth century, with the invention of quantum mechanics. The name refer...Savoir plus
How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working...Savoir plus
These notes present a polished introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. Trop...Savoir plus
Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and various long exac...Savoir plus
Historical interest and studies of Weyl's role in the interplay between 20th-century mathematics, physics and philosophy have been increasing since th...Savoir plus
This book, originating from a seminar held at Oberwolfach in 2022, introduces to state-of-the-art methods and results in the study of free boundary pr...Savoir plus
The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, mod...Savoir plus
Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resolution of families and semistable ...Savoir plus
Questions that arose from linear programming and combinatorial optimization have been a driving force for modern polytope theory, such as the diameter...Savoir plus
This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach. The research on wave...Savoir plus
This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021. Logarithmic Gromov-Witten theory lies at the heart of modern ap...Savoir plus
These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geomet...Savoir plus
These notes are based on lectures given in the semmar on "Coding Theory and Algebraic Geometry" held at Schloss Mickeln, Diisseldorf, November 16-21, ...Savoir plus
Metric algebraic geometry combines concepts from algebraic geometry and differential geometry. Building on classical foundations, it offers practical ...Savoir plus
This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curva...Savoir plus
thus the connectedness theorem can be used to prove the inequality-part of Hartshorne's conjecture on linear normality, whereas Deligne's generalisati...Savoir plus
Our DMV Seminar on 'Classical Nonintegrability, Quantum Chaos' intended to introduce students and beginning researchers to the techniques applied in n...Savoir plus
Serre's GAGA-theorems [56J and base change for field extensions the algebraic analogue was obtained for projective manifolds over a field k of charact...Savoir plus
They are related to representations of finite groups and group actions on spheres, and are considered as a generalisation of the spherical space form ...Savoir plus
These are the lecture notes of the seminar "Mathematische Theorie der finiten Element- und Randelementmethoden" organized by the "Deutsche Mathematike...Savoir plus
These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin wi...Savoir plus
One of the key concerns in modern control theory is the design of steering strategies. The implementation of such strategies is done by a regulator. P...Savoir plus
Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central sign...Savoir plus