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Cambridge Studies in Advanced Mathematics: Series Number 177



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Cambridge Studies in Advanced Mathematics: Series Number 177 by Eric Peterson

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This text organizes a range of results in chromatic homotopy theory, running a single thread through theorems in bordism and a detailed understanding of the moduli of formal groups. It emphasizes the naturally occurring algebro-geometric models that presage the topological results, taking the reader through a pedagogical development of the field. In addition to forming the backbone of the stable homotopy category, these ideas have found application in other fields: the daughter subject 'elliptic cohomology' abuts mathematical physics, manifold geometry, topological analysis, and the representation theory of loop groups. The common language employed when discussing these subjects showcases their unity and guides the reader breezily from one domain to the next, ultimately culminating in the construction of Witten's genus for String manifolds. This text is an expansion of a set of lecture notes for a topics course delivered at Harvard University during the spring term of 2016.

Author Biography

Eric Peterson works in quantum compilation for near-term supremacy hardware at Rigetti Computing in Berkeley, California. He was previously a Benjamin Peirce Fellow at Harvard University.
Release date NZ
November 30th, 2018
Country of Publication
United Kingdom
Worked examples or Exercises; 00 Printed music items; 00 Tables, unspecified; 00 Tables, color; 00 Tables, black and white; 00 Plates, unspecified; 00 Plates, color; 00 Plates, black and white; 00 Maps; 00 Halftones, unspecified; 2 Halftones, color; 6 Halftones, black and white; 00 Line drawings, color; 9 Line drawings, black and white
Cambridge University Press
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