Now showing items 430-449 of 1720

• #### Equidistribution of Elements of Norm 1 in Cyclic Extensions ﻿

[OWP-2014-14] (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)
Upon quotienting by units, the elements of norm 1 in a number field $K$ form a countable subset of a torus of dimension $r_1+r_2-1$ where $r_1$ are the numbers of real and pairs of complex embeddings. When $K$ is Galois ...
• #### Estimating the volume of a convex body ﻿

[SNAP-2018-015-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2018-12-30)
Sometimes the volume of a convex body needs to be estimated, if we cannot calculate it analytically. We explain how statistics can be used not only to approximate the volume of the convex body, but also its shape.
• #### Euler Reflexion Formulas for Motivic Multiple Zeta Functions ﻿

[OWP-2015-17] (Mathematisches Forschungsinstitut Oberwolfach, 2015-11-18)
We introduce a new notion of *-product of two integrable series with coeficients in distinct Grothendieck rings of algebraic varieties, preserving the integrability and commuting with the limit of rational series. In the ...
• #### Even-homogeneous supermanifolds on the complex projective line ﻿

[OWP-2013-02] (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)
The classification of even-homogeneous complex supermanifolds of dimension $1|m$, $m<=3$, on $\mathbb{CP}^1$ up to isomorphism is given. An explicit description of such supermanifolds in terms of local charts and coordinates ...
• #### Exact Rate of Convergence of k-Nearest-Neighbor Classification Rule ﻿

[OWP-2017-25] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-16)
A binary classification problem is considered. The excess error probability of the k-nearest neighbor classification rule according to the error probability of the Bayes decision is revisited by a decomposition of the ...
• #### Exceptional Legendrian Torus Knots ﻿

[OWP-2018-04] (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-21)
We present classification results for exceptional Legendrian realisations of torus knots. These are the first results of that kind for non-trivial topological knot types. Enumeration results of Ding-Li-Zhang concerning ...
• #### Expander graphs and where to find them ﻿

[SNAP-2019-016-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-11-22)
Graphs are mathematical objects composed of a collection of “dots” called vertices, some of which are joined by lines called edges. Graphs are ideal for visually representing relations between things, and mathematical ...
• #### Experimenting with Symplectic Hypergeometric Monodromy Groups ﻿

[OWP-2019-15] (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-22)
We present new computational results for symplectic monodromy groups of hypergeometric differential equations. In particular, we compute the arithmetic closure of each group, sometimes justifying arithmeticity. The results ...
• #### Experimenting with Zariski Dense Subgroups ﻿

[OWP-2017-31] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-28)
We give a method to describe all congruence images of a finitely generated Zariski dense group $H\leq SL(n, \mathbb{R})$. The method is applied to obtain efficient algorithms for solving this problem in odd prime degree ...
• #### An Explicit Formula for the Dirac Multiplicities on Lens Spaces ﻿

[OWP-2014-19] (Mathematisches Forschungsinstitut Oberwolfach, 2014)
We present a new description of the spectrum of the (spin-) Dirac operator $D$ on lens spaces. Viewing a spin lens space $L$ as a locally symmetric space $\Gamma \setminus Spin(2m)/Spin(2m-1)$ and exploiting the representation ...
• #### 0330 - Explicit Methods in Number Theory ﻿

[TB-2003-32] (2003) - (20 Jul - 26 Jul 2003)
• #### 0929 - Explicit Methods in Number Theory ﻿

[OWR-2009-33] (2009) - (12 Jul - 18 Jul 2009)
These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes asymptotics for ﬁeld extensions and class numbers, random matrices and L-functions, rational points on ...
• #### 0529 - Explicit Methods in Number Theory ﻿

[OWR-2005-32] (2005) - (17 Jul - 23 Jul 2005)
These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics included modular forms, varieties over finite fields, rational and integral points on varieties, class groups, ...
• #### 0130 - Explicit Methods in Number Theory ﻿

[TB-2001-33] (2001) - (22 Jul - 28 Jul 2001)
• #### 9927 - Explicit Methods in Number Theory ﻿

[TB-1999-27] (1999) - (04 Jul - 10 Jul 1999)
• #### 0729 - Explicit Methods in Number Theory ﻿

[OWR-2007-34] (2007) - (15 Jul - 21 Jul 2007)
These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes asymptotics for field extensions and class numbers, random matrices and L-functions, rational points ...
• #### 1329 - Explicit Methods in Number Theory ﻿

[OWR-2013-35] (2013) - (14 Jul - 20 Jul 2013)
These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes effectiveness in rational points on curves and especially on modular curves, modularity, L-functions, ...
• #### 1129 - Explicit Methods in Number Theory ﻿

[OWR-2011-35] (2011) - (17 Jul - 23 Jul 2011)
These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes the Sato-Tate conjecure, Langlands programme, function fields, L-functions and many other topics.
• #### 1528 - Explicit Methods in Number Theory ﻿

[OWR-2015-32] (2015) - (05 Jul - 11 Jul 2015)
The aim of the series of Oberwolfach meetings on ‘Explicit methods in number theory’ is to bring together people attacking key problems in number theory via techniques involving concrete or computable descriptions. Here, ...
• #### 1202 - Explicit Versus Tacit Knowledge in Mathematics ﻿

[OWR-2012-4] (2012) - (08 Jan - 14 Jan 2012)
This workshop aimed to bring together an international group of historians of mathematics to reflect upon the role played by tacit knowledge in doing mathematics at various times and places. The existence of tacit knowledge ...