# \(K\)-Theory

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*V. Srinivas; S. K. Roushon; Ravi A. Rao; A. J. Parameswaran; A. Krishna*

A publication of the Tata Institute of Fundamental Research

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.

A publication of the Tata Institute of Fundamental Research. Distributed worldwide except in India, Bangladesh, Bhutan, Maldavis, Nepal, Pakistan, and Sri Lanka.

#### Readership

Graduate students and researchers interested in geometry, topology, and number theory.