Browsing by MSC "30"
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2241  Arbeitsgemeinschaft: Higher Rank Teichmüller Theory
[OWR202247] (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
[OWR201017] (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
[OWR201130] (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
[OWR201125] (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 ... 
Dirichlet Approximation and Universal Dirichlet
[OWP201612] (Mathematisches Forschungsinstitut Oberwolfach, 20160816)We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge, Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and ... 
1406b  Dirichlet Series and Function Theory in Polydiscs
[OWR20146] (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)
[OWR202128] (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
[OWR201415] (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 ... 
A Function Algebra Providing New Mergelyan Type Theorems in Several Complex Variables
[OWP201902] (Mathematisches Forschungsinstitut Oberwolfach, 20190211)For compact sets $K\subset \mathbb C^{d}$, we introduce a subalgebra $A_{D}(K)$ of $A(K)$, which allows us to obtain Mergelyan type theorems for products of planar compact sets as well as for graphs of functions. 
Hutchinson's Intervals and Entire Functions from the LaguerrePólya Class
[OWP202219] (Mathematisches Forschungsinstitut Oberwolfach, 20221212)We find the intervals $[\alpha, \beta (\alpha)]$ such that if a univariate real polynomial or entire function $f(z) = a_0 + a_1 z + a_2 z^2 + \cdots $ with positive coefficients satisfy the conditions $ \frac{a_{k1}^2}{ ... 
The Index of Singular Zeros of Harmonic Mappings of AntiAnalytic Degree One
[OWP201703] (Mathematisches Forschungsinstitut Oberwolfach, 20170202)We study harmonic mappings of the form $f(z) = h(z)  \overline{z}$, where $h$ is an analytic function. In particular we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the ... 
The Initial and Terminal Cluster Sets of an Analytic Curve
[OWP201625] (Mathematisches Forschungsinstitut Oberwolfach, 20161221)For an analytic curve $\gamma : (a,b) \to \mathbb{C}$, the set of values approaches by $\gamma(t)$, as $t ↘a$ and as $t↗b$ can be any two continuua of $\mathbb{C} \cup \{\infty\}$. 
1744a  Interplay between Number Theory and Analysis for Dirichlet Series
[OWR201751] (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  MiniWorkshop: Complex Approximation and Universality
[OWR20086] (2008)  (10 Feb  16 Feb 2008)The miniworkshop was devoted to the study of universality in connection with approximation theory in complex analysis and related notions within the framework of Banach spaces and various function spaces. Topics discussed ... 
2047b  MiniWorkshop: Dimers, Ising and Spanning Trees beyond the Critical Isoradial Case (online meeting)
[OWR202035] (2020)  (15 Nov  21 Nov 2020)The goal of this miniworkshop 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  MiniWorkshop: The Escaping Set in Transcendental Dynamics
[OWR200954] (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 ... 
A new counting function for the zeros of holomorphic curves
[OWP200925] (Mathematisches Forschungsinstitut Oberwolfach, 20090318)Let $f_1,..., f_p$ be entire functions that do not all vanish at any point, so that $(f_1,..., f_p)$ is a holomorphic curve in $\mathbb{CP}^{p1}$. We introduce a new and more careful notion of counting the order of the ... 
1836  New Trends in Teichmüller Theory and Mapping Class Groups
[OWR201840] (2018)  (02 Sep  08 Sep 2018)In this workshop, various topics in Teichmüller theory and mapping class groups were discussed. Twentythree 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
[OWR20147] (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 ... 
NonExtendability of Holomorphic Functions with Bounded or Continuously Extendable Derivatives
[OWP201730] (Mathematisches Forschungsinstitut Oberwolfach, 20171021)We consider the spaces $H_{F}^{\infty}(\Omega)$ and $\mathcal{A}_{F}(\Omega)$ containing all holomorphic functions $f$ on an open set $\Omega \subseteq \mathbb{C}$, such that all derivatives $f^{(l)}$, $l\in F \subseteq ...