Mathematical Colloquim

PROGRAM

 ODELJENJE ZA MATEMATIKU MATEMATIČKOG INSTITUTA SANU

PROGRAM ZA MART 2016.

NAPOMENA: Predavanja ce se odrzavati u Sali 301f na trecem spratu Matematickog instituta SANU, Knez-Mihailova 36 (zgrada preko puta SANU).

Petak, 4.03.2016. u 14:15h, Sala 301f, MI SANU
Erik Darpö, Mardalen University, Svedska
REAL DIVISION ALGEBRAS

In this talk I shall give an introduction to real division algebras. Division algebras are a type of not necessarily associative algebraic structures that generalises well-known objects such as the real and complex numbers. Several interesting algebraic structures, including the quaternion and octonion algebras, arise in this way. While most of these new structures do not satisfy the commutative and associative laws, some of them still have important applications in geometry and physics, as well as computer graphics and coding theory.

In my talk I will introduce some of the more classical structures, along with some classification results. If time permits, I will also present some more recent developments and open research problems in the field

Petak, 25.03.2016. u 14:15h, Sala 301f,MI SANU
BRAUEROV STEPEN I POENKAREOVI KOMPLEKSI

Dacemo ukratko istorijski razvoj definicije Brauerovog stepena. Zatim cemo prodiskutovati definiciju Poenkareovog kompleksa (radovi Duan, Vang i Grbic, Vucic). Pokazacemo da se u tom slucaju dobija sistem jednacina pomocu kojeg se mogu opisati sva preslikavanja, do na homotopiju, odnosno mogu se izracunati svi stepeni.

U nekim slucajevima pomocu stepena cemo uraditi klasifikaciju svih Poenkareovih kompleksa.

Odeljenje za matematiku je opsti matematicki seminar namenjen sirokoj publici. Predavanja su prilagodjena matematicarima i onima koji zele da to postanu.

Zoran Petric, Odeljenje za matematiku Matematickog instituta SANU