Oberwolfach Reports: Recent submissions

Now showing items 501-520 of 1221

    • 1630 - Recent Mathematical Developments in Quantum Field Theory 

      [OWR-2016-36] Workshop Report 2016,36 (2016) - (24 Jul - 30 Jul 2016)
      This workshop has focused on three areas in mathematical quantum field theory and their interrelations: 1) conformal field theory, 2) constructions of interacting models of quantum field theory by various methods, and 3) ...

    • 1629 - Topologie 

      [OWR-2016-35] Workshop Report 2016,35 (2016) - (17 Jul - 23 Jul 2016)
      The Oberwolfach conference “Topologie” is one of only a few opportunities for researchers from many different areas in algebraic and geometric topology to meet and exchange ideas. This year we emphasized two topics of ...

    • 1628 - Calculus of Variations 

      [OWR-2016-34] Workshop Report 2016,34 (2016) - (10 Jul - 16 Jul 2016)
      The Calculus of Variations is subject with a long and distinguished history, a great deal of diverse current activity, and close connections to other fields such as geometry and mathematical physics. The July 2016 workshop ...

    • 1627b - Learning Theory and Approximation 

      [OWR-2016-33] Workshop Report 2016,33 (2016) - (03 Jul - 09 Jul 2016)
      The main goal of this workshop – the third one of this type at the MFO – has been to blend mathematical results from statistical learning theory and approximation theory to strengthen both disciplines and use synergistic ...

    • 1627a - Statistics for Shape and Geometric Features 

      [OWR-2016-32] Workshop Report 2016,32 (2016) - (03 Jul - 09 Jul 2016)
      The constant emergence of novel technologies result in novel data generating devices and mechanisms that lead to a prevalence of highly complex data. To analyze such data, novel statistical methodologies need to be developed. ...

    • 1626 - Algebraic K-theory and Motivic Cohomology 

      [OWR-2016-31] Workshop Report 2016,31 (2016) - (26 Jun - 02 Jul 2016)
      Algebraic $K$-theory and motivic cohomology have developed together over the last thirty years. Both of these theories rely on a mix of algebraic geometry and homotopy theory for their construction and development, and ...

    • 1625 - Hyperbolic Techniques in Modelling, Analysis and Numerics 

      [OWR-2016-30] Workshop Report 2016,30 (2016) - (19 Jun - 25 Jun 2016)
      Several research areas are flourishing on the roots of the breakthroughs in conservation laws that took place in the last two decades. The meeting played a key role in providing contacts among the different branches that ...

    • 1624 - Classical Algebraic Geometry 

      [OWR-2016-29] Workshop Report 2016,29 (2016) - (12 Jun - 18 Jun 2016)
      Progress in algebraic geometry often comes through the introduction of new tools and ideas to tackle the classical problems the development of the field. Examples include new invariants that capture some aspect of geometry ...

    • 1623 - Geometrie 

      [OWR-2016-28] Workshop Report 2016,28 (2016) - (05 Jun - 11 Jun 2016)
      The workshop Geometry, organized by John Lott (Berkeley), André Neves (London), Iskander Taimanov (Novosibirsk) and Burkhard Wilking (Münster) was well attended with over 53 participants with broad geographic representation ...

    • 1622 - Nonlinear Evolution Problems 

      [OWR-2016-27] Workshop Report 2016,27 (2016) - (29 May - 04 Jun 2016)
      The main themes of this workshop were geometric evolution equations and dispersive equations, including nonlinear wave and Schrödinger equations. Altogether there were 21 talks, presented by leading specialists from all ...

    • 1621 - The Renormalization Group 

      [OWR-2016-26] Workshop Report 2016,26 (2016) - (22 May - 28 May 2016)
      The renormalization group was originally introduced as a multiscale approach to quantum field theory and the theory of critical phenomena, explaining in particular the universality observed e.g. in critical exponents. Since ...

    • 1619 - Factorization Algebras and Functorial Field Theories 

      [OWR-2016-25] Workshop Report 2016,25 (2016) - (08 May - 14 May 2016)
      Factorization algebras are a new mathematical approach to quantum field theory. They are related to functorial field theories, another approach to quantum field theory. Factorization algebras also figure in current research ...

    • 1618 - Rough Paths, Regularity Structures and Related Topics 

      [OWR-2016-24] Workshop Report 2016,24 (2016) - (01 May - 07 May 2016)
      The purpose of the Oberwolfach workshop “Rough Paths and Regularity Structures” was to bring together these researchers, both young and senior, with the aim to consolidate progress in rough path theory and stochastic partial ...

    • 1617 - Moduli spaces and Modular forms 

      [OWR-2016-23] Workshop Report 2016,23 (2016) - (24 Apr - 30 Apr 2016)
      The roots of both moduli spaces and modular forms go back to the theory of elliptic curves in the 19th century. Both topics have seen an enormous growth in the second half of the 20th century, but the interaction between ...

    • 1616 - Combinatorics and Probability 

      [OWR-2016-22] Workshop Report 2016,22 (2016) - (17 Apr - 23 Apr 2016)
      For the past few decades, Combinatorics and Probability Theory have had a fruitful symbiosis, each benefitting from and influencing developments in the other. Thus to prove the existence of designs, probabilistic methods ...

    • 1615 - Diophantische Approximationen 

      [OWR-2016-21] Workshop Report 2016,21 (2016) - (10 Apr - 16 Apr 2016)
      This number theoretic conference was focused on a broad variety of subjects in (or closely related to) Diophantine approximation, including the following: metric Diophantine approximation, Mahler’s method in transcendence, ...

    • 1614 - Arbeitsgemeinschaft: The Geometric Langlands Conjecture 

      [OWR-2016-20] Workshop Report 2016,20 (2016) - (03 Apr - 09 Apr 2016)
      The Langlands program is a vast, loosely connected, collection of theorems and conjectures. At quite different ends, there is the geometric Langlands program, which deals with perverse sheaves on the stack of $G$-bundles ...

    • 1613 - Toric Geometry 

      [OWR-2016-19] Workshop Report 2016,19 (2016) - (27 Mar - 02 Apr 2016)
      Toric geometry is a subfield of algebraic geometry with deep intersections with combinatorics. This workshop brought together researchers working in toric geometry, applying toric geometry elsewhere in algebraic geometry, ...

    • 1612 - Geometric Numerical Integration 

      [OWR-2016-18] Workshop Report 2016,18 (2016) - (20 Mar - 26 Mar 2016)
      The subject of this workshop was numerical methods that preserve geometric properties of the flow of an ordinary or partial differential equation. This was complemented by the question as to how structure preservation ...

    • 1611 - Mechanics of Materials: Mechanics of Interfaces and Evolving Microstructure 

      [OWR-2016-17] Workshop Report 2016,17 (2016) - (13 Mar - 19 Mar 2016)
      Emphasis in modern day efforts in mechanics of materials is increasingly directed towards integration with computational materials science, which itself rests on solid physical and mathematical foundations in thermodynamics ...