Mathematical Colloquium
PROGRAM
ODELJENJE ZA MATEMATIKU MATEMATIČKOG INSTITUTA SANU |
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PROGRAM ZA MART 2017.
PETAK, 17.03.2017. u 14:15, Sala 301f, MI SANU, Kneza Mihaila 36
Hans G. Feichtinger, University of Vienna, Austria
FOURIER STANDARD SPACES: A NEW FAMILY OF FUNCTION SPACES
Classical Harmonic Analysis is focusing very much on the
Lebesgue spaces $L^1,L^2,L^\infty$, because they appear at first sight as
natural domains for convolution or the Fourier transform. As it has turned
out a variant of distribution theory, arising from problems in
time-frequency analysis, gives rise the a description of the Fourier
transform as an automorphism of the Banach Gelfand Triple (or rigged
Hilbert space) $(S_0,L^2,S_0')(R^d)$, i.e. the Plancherel theorem
restricts well to the space of test functions $S_0(R^d)$ but also extends
well to the distibutions in $S_0'(R^d)$, including Dirac measures, Dirac
combs, or pure frequencies.
Fourier standard spaces is a family of Banach spaces between $S_0(R^d)$
and $S_0'(R^d)$, with some extra properties, essentially allowing
smoothing (by convolution) and localization (by pointwise multiplication).
It is the purpose of this talk to indicate the richness of this family of
Fourier standard spaces, among them Wiener amalgam spaces or modulation
spaces, and to present a few general claims which can be made for the
Banach spaces in this family. Of course, the classical $L^p$-spaces belong
to this family, however without playing a significant role there.
PETAK, 24.03.2017. u 14:15, Sala 301f, MI SANU, Kneza Mihaila 36
Marko Radovanovic, Matematicki fakultet, Beograd
GREBNEROVE BAZE ZA MNOGOSTRUKOSTI ZASTAVA I PRIMENE
Rezime: Po Borelovom opisu, celobrojna kohomologija (kompleksne) mnogostrukosti zastava
F data je kao polinomijalna algebra posecena po odredenom idealu
IF. Ovaj opis prirodno je povezan sa jednom aditivnom bazom
BF kohomologije koja je zadata monomima u Cernovim klasama.
Na ovom predavanju predstavicemo Grebnerove baze za ideale
IF i pokazati kako one zadaju (minimalan) skup pravila za mnozenje elemenata iz
BF. Na nekoliko primera prikazacemo primene ovi rezultata.
Ovo je zajednicki rad sa Zoranom Petrovicem i Branislavom Prvulovicem.
PETAK, 31.03.2017. u 14:15, Sala 301f, MI SANU, Kneza Mihaila 36
Tijana Sukilovic, Matematicki fakultet, Beograd
GEOMETRIJA NILPOTENTNIH LIJEVIH GRUPA U MALIM DIMENZIJAMA
Nilpotentne Lijeve grupe sa levo-invarijantnom metrikom
se prirodno javljaju u raznim oblastima geometrije i algebre. Dok
je klasa 2-step nilpotentnih Lijevih grupa detaljno
izucavana, to nije slucaj sa grupama viseg stepena
nilpotentnosti. Na predavanju ce biti dat prikaz poznatih
rezultata, sa posebnim osvrtom na neke klasicne primere, kao sto
je Hajzenbergova grupa. Takodje, razmatracemo i aktuelne pravce
istrazivanja u ovoj oblasti i ukazati na neke otvorene probleme.
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