COLLOQUIUM Martin Frankland University of Regina An invitation to motivic homotopy theory

Source URL: www.uregina.ca

Publication list Paul Arne Østvær • Slices and the first stable homotopy groups of motivic spheres. In preparation. Joint with O. R¨ondigs and M. Spitzweck. • A1 -contractibility of Koras-Russell threefolds. Submi

Source URL: www.mn.uio.no

• Algebra
• Abstract algebra
• Mathematics
• Algebraic geometry
• K-theory
• Homotopy theory
• Cohomology theories
• Conjectures
• Motivic cohomology
• Algebraic K-theory
• Vladimir Voevodsky
• Milnor conjecture

HOMOTOPY COHERENT STRUCTURES EMILY RIEHL Abstract. Naturally occurring diagrams in algebraic topology are commutative up to homotopy, but not on the nose. It was quickly realized that very little can be done with this in

Source URL: www.math.jhu.edu

HOMOTOPY CLASSES OF HARMONIC MAPS OF THE STRATIFIED 2-SPHERES AND APPLICATIONS TO GEOMETRIC FLOWS JINGYI CHEN AND YUXIANG LI Abstract. We show that the set of harmonic maps from the 2-dimensional stratified spheres with

Source URL: faculty.math.tsinghua.edu.cn

RECIPROCITY SHEAVES BRUNO KAHN, SHUJI SAITO, AND TAKAO YAMAZAKI ¨ WITH TWO APPENDICES BY KAY RULLING Abstract. We start developing a notion of reciprocity sheaves, generalizing Voevodsky’s homotopy invariant presheave

Source URL: www.lcv.ne.jp

Homology, Homotopy and Applications, vol. 17(1), 2015, pp.1–33 COMPLETENESS RESULTS FOR QUASI-CATEGORIES OF ALGEBRAS, HOMOTOPY LIMITS, AND RELATED GENERAL CONSTRUCTIONS EMILY RIEHL and DOMINIC VERITY

Source URL: www.math.jhu.edu

Aspects of univalence Nicola Gambino School of Mathematics, University of Leeds Homotopy Type Theory and Univalent Foundations DMV 2015

Source URL: www1.maths.leeds.ac.uk

Homotopy Type Theory in Lean Floris van Doorn Department of Philosophy Carnegie Mellon University http://leanprover.github.io

Source URL: hott-uf.gforge.inria.fr

Lifting Problems in a Grothendieck Fibration Andrew Swan July 21, 2017 The notion of lifting problem is a central concept in homotopical algebra, as well as in the semantics of homotopy type theory. Given two maps m : U

Source URL: hott-uf.github.io

Towards a Directed HoTT with Four Kinds of Variance Andreas Nuyts, Jesper Cockx, Dominique Devriese and Frank Piessens May 15, 2015 Homotopy type theory (HoTT) offers a constructive way of working with ∞-groupoids. Whe

Source URL: hott-uf.gforge.inria.fr