The Atiyah–Segal completion theorem is a theorem in mathematics about equivariant K-theory in homotopy theory. Let G be a compact Lie group and let X be...

the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in 1966 and the Abel Prize in 2004. Atiyah was born...

of Michael Atiyah, was titled Equivariant K-theory. His thesis was in the area of equivariant K-theory. The Atiyah–Segal completion theorem in that subject...

duality theorem (topology) Atiyah–Segal completion theorem (homotopy theory) Snaith's theorem (algebraic topology) Alperin–Brauer–Gorenstein theorem (finite...

{R}}[G]} which is a special case of the Atiyah–Segal completion theorem. Adams, J. Frank (1980). "Graeme Segal's Burnside ring conjecture". Topology Symposium...

the Institute for Advanced Study where she worked with Segal on the Atiyah–Segal completion theorem. She then returned to England, where she took up a lectureship...

contributions to abstract algebra. She also proved Noether's first and second theorems, which are fundamental in mathematical physics. Noether was described by...

non-commutative rings, where it had applications to group representations. Atiyah and Hirzebruch quickly transported Grothendieck's construction to topology...

theory. Wiles' proof of the longstanding conjecture called Fermat's Last Theorem is an example of the power of this approach. In classical algebraic geometry...

invariant, and plays a deep role in differential geometry via the Atiyah–Singer index theorem. Unbounded operators are also tractable in Hilbert spaces, and...

the quantized theory. The relationship of this anomaly to the Atiyah–Singer index theorem was one of the celebrated achievements of the theory. Technically...