COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Koszul duality theory for algebras

## Koszul duality theory for algebrasAdd to your list(s) Download to your calendar using vCal - Vallette, B (Universit de Nice Sophia Antipolis)
- Wednesday 16 January 2013, 14:00-15:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Grothendieck-Teichmller Groups, Deformation and Operads An operad is an algebraic device which encodes a type of algebras. Instead of studying the properties of a particular algebra, we focus on the universal operations that can be performed on the elements of any algebra of a given type. The information contained in an operad consists in these operations and all the ways of composing them. The notion of an operad is a universal tool in mathematics and operadic theorems have been applied to prove results in many different fields. The aim of this course is, first, to provide an introduction to algebraic operads, second, to give a conceptual treatment of Koszul duality, and, third, to give applications to homotopical algebra. An operad is a mathematical object which allows us to encode the operations acting on categories of algebras. In this course, we will define the notion of operad together with many examples. We will then develop the homological algebra for operads leading to the Koszul duality theory. We will finish with the applications to the homotopy theory and open the doors to the deformation theory of algebraic structures. Reference: Algebraic Operads, Jean-Louis Loday and Bruno Vallette, Grundlehren der mathematischen Wissenschaften, Volume 346, Springer-Verlag (2012). [Available for free at http://math.unice.fr/~brunov/Operads.pdf] This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
Note that ex-directory lists are not shown. |
## Other listsOptimization and Incentives Seminar Birational geometry seminar DIAL seminars## Other talksIncreasing the metallicity of metal-poor stars in the Galaxy by accretion from the ISM Health Economics @ Cambridge seminar: Title TBC Accounting for longitudinal data structures when disseminating synthetic data to the public Commensurability of right-angled Artin groups “Swamped! The trials and tribulations of tropical peatland science” The Mechanical Arts in Twelfth Century School Poetry |