• 1605 - Algebraic Cobordism and Projective Homogeneous Varieties 

      [OWR-2016-5] Workshop Report 2016,5 (2016) - (31 Jan - 06 Feb 2016)
      The aim of this workshop was to bring together researchers in the theory of projective homogeneous varieties with researchers working on cohomology theories of algebraic varieties, so that the latter can learn about the ...
    • 1626 - Algebraic K-theory and Motivic Cohomology 

      [OWR-2016-31] Workshop Report 2016,31 (2016) - (26 Jun - 02 Jul 2016)
      Algebraic $K$-theory and motivic cohomology have developed together over the last thirty years. Both of these theories rely on a mix of algebraic geometry and homotopy theory for their construction and development, and ...
    • 1614 - Arbeitsgemeinschaft: The Geometric Langlands Conjecture 

      [OWR-2016-20] Workshop Report 2016,20 (2016) - (03 Apr - 09 Apr 2016)
      The Langlands program is a vast, loosely connected, collection of theorems and conjectures. At quite different ends, there is the geometric Langlands program, which deals with perverse sheaves on the stack of $G$-bundles ...
    • 1650 - Asymptotic Phenomena in Local Algebra and Singularity Theory 

      [OWR-2016-57] Workshop Report 2016,57 (2016) - (11 Dec - 17 Dec 2016)
      The goal of this workshop was to highlight, and further, the interactions between local algebra and singularity theory. The timing was serendipitous for both subjects have witnessed tremendous progress recently, much of ...
    • 1624 - Classical Algebraic Geometry 

      [OWR-2016-29] Workshop Report 2016,29 (2016) - (12 Jun - 18 Jun 2016)
      Progress in algebraic geometry often comes through the introduction of new tools and ideas to tackle the classical problems the development of the field. Examples include new invariants that capture some aspect of geometry ...
    • 1643 - Definability and Decidability Problems in Number Theory 

      [OWR-2016-49] Workshop Report 2016,49 (2016) - (23 Oct - 29 Oct 2016)
      This workshop brought together experts working on variations of Hilbert’s Tenth Problem and more general decidability issues for structures other than the ring of integers arising naturally in number theory and algebraic geometry.
    • 1619 - Factorization Algebras and Functorial Field Theories 

      [OWR-2016-25] Workshop Report 2016,25 (2016) - (08 May - 14 May 2016)
      Factorization algebras are a new mathematical approach to quantum field theory. They are related to functorial field theories, another approach to quantum field theory. Factorization algebras also figure in current research ...
    • 1607b - Hochschild Cohomology in Algebra, Geometry, and Topology 

      [OWR-2016-10] Workshop Report 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 ...
    • 1603 - Lattices and Applications in Number Theory 

      [OWR-2016-3] Workshop Report 2016,3 (2016) - (17 Jan - 23 Jan 2016)
      This is a report on the workshop on Lattices and Applications in Number Theory held in Oberwolfach, from January 17 to January 23, 2016. The workshop brought together people working in various areas related to the field: ...
    • 1609b - Mini-Workshop: Arrangements of Subvarieties, and their Applications in Algebraic Geometry 

      [OWR-2016-14] Workshop Report 2016,14 (2016) - (28 Feb - 05 Mar 2016)
      While arrangements of hyperplanes have been studied in algebra, combinatorics and geometry for a long time, recent discoveries suggest that they (and more generally arrangements of nonlinear subvarieties) play an even more ...
    • 1609a - Mini-Workshop: PBW Structures in Representation Theory 

      [OWR-2016-13] Workshop Report 2016,13 (2016) - (28 Feb - 05 Mar 2016)
      The PBW structures play a very important role in the Lie theory and in the theory of algebraic groups. The importance is due to the huge number of possible applications. The main goal of the workshop was to bring together ...
    • 1617 - Moduli spaces and Modular forms 

      [OWR-2016-23] Workshop Report 2016,23 (2016) - (24 Apr - 30 Apr 2016)
      The roots of both moduli spaces and modular forms go back to the theory of elliptic curves in the 19th century. Both topics have seen an enormous growth in the second half of the 20th century, but the interaction between ...
    • 1639 - Singularities 

      [OWR-2016-46] Workshop Report 2016,46 (2016) - (25 Sep - 01 Oct 2016)
      Singularity theory is a central part of contemporary mathematics. It is concerned with the local and global structure of maps and spaces that occur in algebraic, analytic or differential geometric context. For its study ...
    • 1607a - Topological Recursion and TQFTs 

      [OWR-2016-9] Workshop Report 2016,9 (2016) - (14 Feb - 20 Feb 2016)
      The topological recursion is an ubiquitous structure in enumerative geometry of surfaces and topological quantum field theories. Since its invention in the context of matrix models, it has been found or conjectured to ...
    • 1613 - Toric Geometry 

      [OWR-2016-19] Workshop Report 2016,19 (2016) - (27 Mar - 02 Apr 2016)
      Toric geometry is a subfield of algebraic geometry with deep intersections with combinatorics. This workshop brought together researchers working in toric geometry, applying toric geometry elsewhere in algebraic geometry, ...