KTheory

This Volume Contains The Proceedings Of The International Colloquium Organized By The Tata Institute Of Fundamental Research In January 2016, One Of A Series Of Colloquia Going Back To 1956.The Talks At The Colloquium Covered A Wide Spectrum Of Mathematics, Ranging Over Algebraic Geometry, Topology, Algebraic $K$-Theory And Number Theory. Algebraic Theory, $\Mathbb{A}^1$-Homotopy Theory And Topological $K$-Theory Formed Important Sub-Streams In This Colloquium. Several Branches Of $K$-Theory, Like Algebraic Cycles, Triangulated Categories Of Motives, Motivic Cohomology, Motivic Homotopy Theory, Chow Groups Of Varieties, Euler Class Theory, Equivariant $K$-Theory As Well As Classical $K$-Theory Have Developed Considerably In Recent Years, Giving Rise To Newer Directions To The Subject As Well As Proving Results Of ``Classical Interest. The Colloquium Brought Together Experts In These Various Branches And Their Talks Covered This Wide Spectrum, Highlighting The Interconnections And Giving A Better Perspective Of The Whole Subject Area.This Volume Contains Refereed Articles By Leading Experts In These Fields And Includes Original Results As Well As Expository Materials In These Areas.