• 0524 - Geometric Topology and Connections with Quantum Field Theory 

      [OWR-2005-27] (2005) - (12 Jun - 18 Jun 2005)
      In recent years, the interplay between traditional geometric topology and theoretical physics, in particular quantum field theory, has played a significant role in the work of many researchers. The idea of this workshop ...
    • 1935 - Geometric, Algebraic, and Topological Combinatorics 

      [OWR-2019-39] (2019) - (25 Aug - 31 Aug 2019)
      The 2019 Oberwolfach meeting "Geometric, Algebraic and Topological Combinatorics" was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a ...
    • Groups with Spanier-Whitehead Duality 

      [OWP-2019-23] Nishikawa, Shintaro; Proietti, Valerio (Mathematisches Forschungsinstitut Oberwolfach, 2019-09-17)
      We introduce the notion of Spanier-Whitehead $K$-duality for a discrete group $G$, defined as duality in the KK-category between two $C*$-algebras which are naturally attached to the group, namely the reduced group ...
    • Hight functions on quaternionic Stiefel manifolds 

      [OWP-2015-10] Macías-Virgós, Enrique; Strom, Jeffrey; Tanré, Daniel; Oprea, John (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
      In this note, we study height functions on quaternionic Stiefel manifolds and prove that all these height functions are Morse-Bott. Among them, we characterize the Morse functions and give a lower bound for their number ...
    • 1607b - Hochschild Cohomology in Algebra, Geometry, and Topology 

      [OWR-2016-10] (2016) - (14 Feb - 20 Feb 2016)
      In 1945 Gerhard Hochschild published "On the cohomology groups of an associative algebra" in the Annals of Mathematics and thereby created what is now called Hochschild theory. In 1963, Murray Gerstenhaber proved that the ...
    • 2110a - Homotopic and Geometric Galois Theory (online meeting) 

      [OWR-2021-12] (2021) - (07 Mar - 13 Mar 2021)
      In his "Letter to Faltings'', Grothendieck lays the foundation of what will become part of his multi-faceted legacy to arithmetic geometry. This includes the following three branches discussed in the workshop: the arithmetic ...
    • 1138 - Homotopy Theory 

      [OWR-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] (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] (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] (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] (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] (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] (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 ...
    • Lifting Spectral Triples to Noncommutative Principal Bundles 

      [OWP-2021-02] Schwieger, Kay; Wagner, Stefan (Mathematisches Forschungsinstitut Oberwolfach, 2021-01-11)
      Given a free action of a compact Lie group $G$ on a unital C*-algebra $\mathcal{A}$ and a spectral triple on the corresponding fixed point algebra $\mathcal{A}^G$, we present a systematic and in-depth construction of ...
    • 2339a - MFO-RIMS Tandem Workshop 2023: Arithmetic Homotopy and Galois Theory 

      [OWR-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 ...
    • Milnor fibre homology via deformation 

      [OWP-2015-22] Siersma, Dirk; Tibăr, Mihai-Marius (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      In case of one-dimensional singular locus, we use deformations in order toget refined information about the Betti numbers of the Milnor fibre.
    • 1816a - Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups 

      [OWR-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] (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] (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] (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, ...