Download e-book for iPad: Moduli Spaces (London Mathematical Society Lecture Note by Leticia Brambila-Paz,Peter Newstead,Richard P. W.

By Leticia Brambila-Paz,Peter Newstead,Richard P. W. Thomas,Oscar Garcia-Prada

Moduli thought is the examine of the way items, commonly in algebraic geometry yet occasionally in different components of arithmetic, range in households and is prime to an figuring out of the gadgets themselves. First formalised within the Nineteen Sixties, it represents an important subject of recent mathematical learn with robust connections to many components of arithmetic (including geometry, topology and quantity conception) and different disciplines reminiscent of theoretical physics. This ebook, which arose from a programme on the Isaac Newton Institute in Cambridge, is a perfect approach for graduate scholars and more matured researchers to turn into familiar with the wealth of principles and difficulties in moduli idea and comparable components. The reader will locate articles on either basic fabric and state of the art learn issues, reminiscent of: algebraic stacks; BPS states and the P = W conjecture; balance stipulations; derived differential geometry; and counting curves in algebraic types, all written through prime experts.

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