Browsing Oberwolfach Reports by MSC "30"

Now showing items 1-20 of 21

    • 2241 - Arbeitsgemeinschaft: Higher Rank Teichmüller Theory 

      [OWR-2022-47] Workshop Report 2022,47 (2022) - (09 Oct - 14 Oct 2022)
      Higher rank Teichmüller theory is the study of certain connected components of character varieties of surface groups in higher rank semisimple Lie groups, with the property that all elements in these components correspond ...

    • 1014 - Arbeitsgemeinschaft: Mathematical Billards 

      [OWR-2010-17] Workshop Report 2010,17 (2010) - (04 Apr - 10 Apr 2010)
      The workshop Mathematical Billiards, organised by Serge Tabachnikov (Penn State) and Serge Troubetzkoy (Marseille) was held April 4th–April 10th, 2010. This meeting was well attended by over 40 participants including a ...

    • 1123 - Arithmetic Groups vs. Mapping Class Groups: Similarities, Analogies and Differences 

      [OWR-2011-30] Workshop Report 2011,30 (2011) - (05 Jun - 11 Jun 2011)
      Arithmetic groups arise naturally in many fields such as number theory, algebraic geometry, and analysis. Mapping class groups arise in both low dimensional topology and geometric group theory. They have been studied ...

    • 1119 - Billiards, Flat Surfaces, and Dynamics on Moduli Spaces 

      [OWR-2011-25] Workshop Report 2011,25 (2011) - (08 May - 14 May 2011)
      This workshop brought together people working on the dynamics of various flows on moduli spaces, in particular the action of SL$_2(\mathbb R)$ on flat surfaces. The new results presented covered properties of interval ...

    • 1406b - Dirichlet Series and Function Theory in Polydiscs 

      [OWR-2014-6] Workshop Report 2014,6 (2014) - (02 Feb - 08 Feb 2014)
      The interaction between Dirichlet series and function theory in polydiscs dates back to a fundamental insight of Harald Bohr and the subsequent groundbreaking work on multilinear forms and polarization by Bohnenblust and ...

    • 2124 - Enumerative Geometry of Surfaces (hybrid meeting) 

      [OWR-2021-28] Workshop Report 2021,28 (2021) - (13 Jun - 19 Jun 2021)
      The recent developments in hyperbolic geometry and flat geometry in real dimension $2$ formed the core of the workshop, with an emphasis on enumerative aspects. A particularly important role in this regard was played by ...

    • 1413 - Flat Surfaces and Dynamics on Moduli Space 

      [OWR-2014-15] Workshop Report 2014,15 (2014) - (23 Mar - 29 Mar 2014)
      Dynamics of the Teichmüller geodesic flow on the moduli space of curves and asymptotic monodromy of the Hodge bundle along this flow have numerous applications to dynamics and geometry of measured foliations, to billiards ...

    • 1744a - Interplay between Number Theory and Analysis for Dirichlet Series 

      [OWR-2017-51] Workshop Report 2017,51 (2017) - (29 Oct - 04 Nov 2017)
      In recent years a number of challenging research problems have crystallized in the analytic theory of Dirichlet series and its interaction with function theory in polydiscs. Their solutions appear to require unconventional ...

    • 0807a - Mini-Workshop: Complex Approximation and Universality 

      [OWR-2008-6] Workshop Report 2008,6 (2008) - (10 Feb - 16 Feb 2008)

    • 2047b - Mini-Workshop: Dimers, Ising and Spanning Trees beyond the Critical Isoradial Case (online meeting) 

      [OWR-2020-35] Workshop Report 2020,35 (2020) - (15 Nov - 21 Nov 2020)
      The goal of this mini-workshop is to gather specialists of the dimer, Ising and spanning tree models around recent and ongoing progress in two directions. One is understanding the connection to the spectral curve of these ...

    • 0950a - Mini-Workshop: The Escaping Set in Transcendental Dynamics 

      [OWR-2009-54] Workshop Report 2009,54 (2009) - (06 Dec - 12 Dec 2009)
      The escaping set of a transcendental entire or meromorphic function consists of all points which tend to infinity under iteration. Its importance in transcendental dynamics has increased significantly in recent years. The ...

    • 1836 - New Trends in Teichmüller Theory and Mapping Class Groups 

      [OWR-2018-40] Workshop Report 2018,40 (2018) - (02 Sep - 08 Sep 2018)
      In this workshop, various topics in Teichmüller theory and mapping class groups were discussed. Twenty-three talks dealing with classical topics and new directions in this field were given. A problem session was organised ...

    • 1407 - New Trends in Teichmüller Theory and Mapping Class Groups 

      [OWR-2014-7] Workshop Report 2014,7 (2014) - (09 Feb - 15 Feb 2014)
      The program “New Trends in Teichmüller Theory and Mapping Class Groups” brought together people working in various aspects of the field and beyond. The focus was on the recent developments that include higher Teichmüller ...

    • 0708a - Normal Families and Complex Dynamics 

      [OWR-2007-9] Workshop Report 2007,9 (2007) - (18 Feb - 24 Feb 2007)
      The schedule comprised more than 25 ordinary and problem session talks from a broad range of areas in function theory, including but not limited to: Nevanlinna theory, iteration of rational functions, dynamics of transcendental ...

    • 1044a - Operator Theory and Harmonic Analysis 

      [OWR-2010-49] Workshop Report 2010,49 (2010) - (31 Oct - 06 Nov 2010)
      The major topics discussed in this workshop were the Feichtinger conjecture and related questions of harmonic analysis, the corona problem for the ball Bn, the weighted approximation problem, and questions related to the ...

    • 0718b - Progress in Surface Theory 

      [OWR-2007-24] Workshop Report 2007,24 (2007) - (29 Apr - 05 May 2007)
      The theory of surfaces has undergone substantial changes in recent years, with many different active areas at this point in time. It has become mainstream to study minimal surfaces and constant mean curvature surfaces in ...

    • 1018 - Progress in Surface Theory 

      [OWR-2010-21] Workshop Report 2010,21 (2010) - (02 May - 08 May 2010)
      The theory of surfaces is interpreted these days as a prototype of submanifold geometry and is characterized by the substantial application of PDE methods and methods from the theory of integrable systems, in addition to ...

    • 1309 - Structured Function Systems and Applications 

      [OWR-2013-11] Workshop Report 2013,11 (2013) - (24 Feb - 02 Mar 2013)
      Quite a few independent investigations have been devoted recently to the analysis and construction of structured function systems such as e.g. wavelet frames with compact support, Gabor frames, refinable functions in the ...

    • 0622 - Teichmüller Space (Classical and Quantum) 

      [OWR-2006-26] Workshop Report 2006,26 (2006) - (28 May - 03 Jun 2006)
      This is a short report on the conference “Teichmüller Space (Classical and Quantum) ” held in Oberwolfach from May 28th to June 3rd, 2006.

    • 2211a - The Laguerre-Pólya Class and Combinatorics 

      [OWR-2022-13] Workshop Report 2022,13 (2022) - (13 Mar - 19 Mar 2022)
      The talks at the workshop were focused on zero localization and zero finding of entire functions, with applications to analytic number theory and combinatorics. The discussions included specific areas such as stable and ...