Zajednički sastanak seminara Katedre za algebru i matematičku logiku i seminara Geometrija, obrazovanje i vizualizacija sa primenama, 5. maj 2017.

• 04. Maj,  2017
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Zajednički sastanak seminara Katedre za algebru i matematičku logiku i seminara Geometrija, obrazovanje i vizualizacija sa primenama, biće održan u petak, 5. maja 2017. u sali 706 Matematičkog fakulteta sa početkom u 12:15 časova.

Predavač: Theodore Popelensky, MGU Moskow

Naslov predavanja: THE STEENROD ALGEBRA MOD p, p>2, NEW ADDITIVE BASIS

Apstrakt:

In this talk we shall discuss some classical results on the additive bases in the Steenrod algebra mod 2,and their generalization to the Steenrod algebra mod p, p>2.

To be more precise, the Steenrod algebra of stable cohomology operations mod 2 is generated by the Steenrod squares and the Adem relations, while for p>2 it is generated by the Pontryagin powers, the Bockstein element and the Adem relations.

Considering an associative algebra given in terms of generators and relations one has a problem to recognize whether two elements are equal or not. Hence it is quite useful to have suitable additive bases for such an algebra,discuss certain additive monomial bases for the Steenrod algebras which appear to be useful for p=2 (among them bases of Milnor elements, admissible elements, Wall elements, Arnon X,Z,C bases should be mentioned) and our recent results for p>2.

NAPOMENA: U ponedeljak, 8. maja u sali 301f Matematičkog instituta sa početkom u 14:15 časova, profesor Theodore Popelensky će održati predavanje pod nazivom "On Combinatorial Ricci flow in surfaces".

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