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
Aleksandar Vucic, Matematicki fakultet Beograd
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.