Date:	Thu, March 19, 2015
Time:	15:45
Place:	Seminar Room (120), Research I

Abstract: We will review the notion of symmetric tensor category, Tannakian formalism and formulate Deligne's theorem about tensor categories of subexponential growth. Then we proceed to construction of universal categories \(\mathrm{Rep}\,\mathrm{GL}(t)\) and \(\mathrm{Rep}\,\mathrm{O}(t)\). When \(t\) is not integer, these categories are semisimple. In the case of integer \(t\) we obtain the categories of representations of classical groups as quotients by the ideal generated by all morphisms of trace zero.