• 1138 - Homotopy Theory 

      [OWR-2011-46] Workshop Report 2011,46 (2011) - (18 Sep - 24 Sep 2011)
      This workshop was a forum to present and discuss the latest result and ideas in homotopy theory and the connections to other branches of mathematics, such as algebraic geometry, representation theory and group theory.
    • 1932 - Homotopy Theory 

      [OWR-2019-36] Workshop Report 2019,36 (2019) - (04 Aug - 10 Aug 2019)
      The workshop "Homotopy Theory" was organized by Jesper Grodal (Copenhagen), Michael Hill (Los Angeles), and Birgit Richter (Hamburg). It covered a wide variety of topics in homotopy theory, from foundational questions to ...
    • 0738 - Homotopy Theory 

      [OWR-2007-45] Workshop Report 2007,45 (2007) - (16 Sep - 22 Sep 2007)
      Algebraic topology in general and homotopy theory in particular is in an exciting period of growth and transformation, driven in part by strong interactions with algebraic geometry, mathematical physics, and representation ...
    • 1511 - Homotopy Theory 

      [OWR-2015-14] Workshop Report 2015,14 (2015) - (08 Mar - 14 Mar 2015)
      This workshop was a forum to present and discuss the latest results and ideas in algebraic topology and homotopy theory, with a special emphasis on connections to other branches of mathematics, such as algebraic geometry, ...
    • 2332 - Homotopy Theory 

      [OWR-2023-34] Workshop Report 2023,34 (2023) - (06 Aug - 11 Aug 2023)
      The workshop brought together experts in homotopy theory from many areas, including chromatic homotopy theory, algebraic K-theory, derived algebra and equivariant homotopy theory. We had a lecture series on the recent ...
    • 0915a - Homotopy Theory of Function Spaces and Related Topics 

      [OWR-2009-19] Workshop Report 2009,19 (2009) - (05 Apr - 11 Apr 2009)
      This workshop brought together researchers studying a variety of problems related to the homotopy theory of function spaces. Topics covered included: evaluation maps and Gottlieb groups, the classification of gauge groups ...
    • 1223 - Invariants in Low-Dimensional Topology and Knot Theory 

      [OWR-2012-28] Workshop Report 2012,28 (2012) - (03 Jun - 09 Jun 2012)
      This meeting concentrated on topological invariants in low dimensional topology and knot theory. We include both three and four dimensional manifolds in our phrase “low dimensional topology”. The intent of the conference ...
    • 2339a - MFO-RIMS Tandem Workshop 2023: Arithmetic Homotopy and Galois Theory 

      [OWR-2023-42] Workshop Report 2023,42 (2023) - (24 Sep - 29 Sep 2023)
      This report presents a general panorama of recent progress in the arithmetic-geometry theory of Galois and homotopy groups and its ramifications. While still relying on Grothendieck's original pillars, the present program ...
    • 1816a - Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups 

      [OWR-2018-17] Workshop Report 2018,17 (2018) - (15 Apr - 21 Apr 2018)
      The geometric study of the absolute Galois group of the rational numbers has been a highly active research topic since the first milestones: Hilbert’s Irreducibility Theorem, Noether’s program, Riemann’s Existence Theorem. ...
    • 1409c - Mini-Workshop: Batalin-Vilkovisky Algebras, Operads, and Hopf Algebroids 

      [OWR-2014-11] Workshop Report 2014,11 (2014) - (23 Feb - 01 Mar 2014)
      This workshop brought together 17 researchers whose work involves Batalin–Vilkovisky algebras, operads, and related structures such as Gerstenhaber algebras and cyclic homology. It featured introductory lectures on some ...
    • 0908a - Mini-Workshop: Category Theory and Related Fields: History and Prospects 

      [OWR-2009-8] Workshop Report 2009,8 (2009) - (15 Feb - 21 Feb 2009)
      he workshop concerned various topics in the history of category theory and related fields, paying attention to some extent also to open questions, present and possible future development.
    • 1810a - Mini-Workshop: Chromatic Phenomena and Duality in Homotopy Theory and Representation Theory 

      [OWR-2018-9] Workshop Report 2018,9 (2018) - (04 Mar - 10 Mar 2018)
      This mini-workshop focused on chromatic phenomena and duality as unifying themes in algebra, geometry, and topology. The overarching goal was to establish a fruitful exchange of ideas between experts from various areas, ...
    • 1240c - Mini-Workshop: Cohomology Rings and Fundamental Groups of Hyperplane Arrangements, Wonderful Compactifications, and Real Toric Varieties 

      [OWR-2012-49] Workshop Report 2012,49 (2012) - (01 Oct - 06 Oct 2012)
      The purpose of this workshop was to bring together researchers with a common interest in the objects mentioned in the title from, respectively, the points of view of toric and tropical geometry, arrangement theory, and ...
    • 1644c - Mini-Workshop: Computations in the Cohomology of Arithmetic Groups 

      [OWR-2016-52] Workshop Report 2016,52 (2016) - (30 Oct - 05 Nov 2016)
      Explicit calculations play an important role in the theoretical development of the cohomology of groups and its applications. It is becoming more common for such calculations to be derived with the aid of a computer. This ...
    • 0533c - Mini-Workshop: Gerbes, Twisted K-Theory and Conformal Field Theory 

      [OWR-2005-38] Workshop Report 2005,38 (2005) - (14 Aug - 20 Aug 2005)
      The aim of the mini-workshop was to bring together people whose work in mathematics and mathematical physics centers around geometry and topology applicable in modern string theory. More specifically, whose interests are ...
    • 1743c - Mini-Workshop: Interactions between Low-dimensional Topology and Complex Algebraic Geometry 

      [OWR-2017-50] Workshop Report 2017,50 (2017) - (22 Oct - 28 Oct 2017)
      Recent developments exhibit a strong connection between low-dimensional topology and complex algebraic geometry. A common theme is provided by the Alexander polynomial and its many avatars. The mini-Workshop brought together ...
    • 1320c - Mini-Workshop: Localising and Tilting in Abelian and Triangulated Categories 

      [OWR-2013-26] Workshop Report 2013,26 (2013) - (12 May - 18 May 2013)
      The workshop brought together experts on localisation theory and tilting theory from different parts of mathematics with the aim of fully exploiting the power of some recent developments in so far rather independent contexts. ...
    • 1915a - Mini-Workshop: Recent Progress in Path Integration on Graphs and Manifolds 

      [OWR-2019-16] Workshop Report 2019,16 (2019) - (07 Apr - 13 Apr 2019)
      Ever since Richard Feynman's PhD thesis, path integrals have played a decisive role in mathematical physics. While it is well-known that such formulae can hold only formally, it was Mark Kac who realized that by replacing ...
    • 1109a - Mini-Workshop: The Homotopy Interpretation of Constructive Type Theory 

      [OWR-2011-11] Workshop Report 2011,11 (2011) - (27 Feb - 05 Mar 2011)
      Over the past few years it has become apparent that there is a surprising and deep connection between constructive logic and higherdimensional structures in algebraic topology and category theory, in the form of an ...
    • 1609c - Mini-Workshop: Topological Complexity and Related Topics 

      [OWR-2016-15] Workshop Report 2016,15 (2016) - (28 Feb - 05 Mar 2016)
      Topological complexity is a numerical homotopy invariant of topological spaces, of Lusternik-Schnirelmann type, introduced by Farber and motivated by the motion planning problem from topological robotics. This mini-workshop ...