Algebraic Topology

Ulrike Tillmann, Oxford University, UK Soren Galatius, Stanford University, CA, USA Dev Sinha, University of Oregon, Eugene, OR, USA

Representation stability in cohomology and asymptotics for families of varieties over finite fields by T. Church, J. S. Ellenberg, and B. Farb A stability conjecture for the unstable cohomology of $/textrm{SL}_n/mathbb{Z}$, mapping class groups, and $/textrm{Aut}(F_n)$ by T. Church, B. Farb, and A. Putman The Boardman-Vogt tensor product of operadic bimodules by W. Dwyer and K. Hess Detecting and realising characteristic classes of manifold bundles by S. Galatius and O. Randal-Williams Controlled algebraic $G$-theory, II by B. Goldfarb and T. K. Lance More examples of discrete co-compact group actions by I. Hambleton and E. K. Pedersen On the $K$-theory of planar cuspical curves and a new family of polytopes by L. Hesselholt Equivariant multiplicative closure by M. A. Hill and M. J. Hopkins Topology of random simplicial complexes: A survey by M. Kahle The definition of a non-commutative toric variety by L. Katzarkov, E. Lupercio, L. Meersseman, and A. Verjovsky The stable symplectic category and quantization by N. Kitchloo A geometric perspective on quantum field theory by G. Segal Sketches of a platypus: A survey of persistent homology and its algebraic foundations by M. Vejdemo-Johansson Cartier's first theorem for Witt vectors on $/mathbb{Z}_{/geq 0}^n - 0$ by K. Wickelgren