Seminar for Geometry, education and visualization with applications
PROGRAM
MATEMATIČKI INSTITUT SANU
Seminar geometriju, obrazovanje i vizualizaciju sa primenama
PLAN RADA ZA MART 2019.
ČETVRTAK, 07.03.2019. u 17:15, Matematički institut SANU, sala 301f
Miodrag Mateljevic, SANU
HYPERBOLIC METRIC ON THE STRIP AND THE SCHWARZ LEMMA FOR HQR MAPPINGS
In this talk we give simple proofs of various versions of the Schwarz lemma for real valued harmonic functions and for holomorphic (more generally harmonic quasiregular, shortly HQR) mappings with the strip codomain. Along the way using the principle of subordination and the corresponding conformal mapping we get a simple proof of a new version of the Schwarz lemma for real valued harmonic functions (without the assumption that 0 is mapped to 0 by the corresponding map). Using the Schwarz-Pick lemma related to distortion for harmonic mappings and the elementary properties of the hyperbolic geometry of the strip we get optimal estimates for modulus of HQR mappings.
ČETVRTAK, 14.03.2019. u 17:15, Matematički institut SANU, sala 301f
Tijana Šukilović, Matematički Fakultet
ČETVORODIMENZIONE REŠIVE METRICKE ALGEBRE
Na predavanju ce biti razmatrane četvorodimenzione rešive Lijeve algebre sa skalarnim proizvodom proizvoljne signature.
ČETVRTAK, 28.03.2019. u 17:15, Matematički institut SANU, sala 301f
Božidar Jovanović, Matematički institut SANU
PRIMER INTEGRABILNOG ČAPLIGINOVOG NEHOLONOMNOG SISTEMA SA INVARIJANTNOM MEROM ALI BEZ ČAPLIGINOVOG MNOŽIOCA
Razmatra se neholomni zadatak kretanja dinamički nesimetrične lopte po fiksnoj sferi. Predavanje povodom 150 godina od rođenja velikog ruskog matematičara i mehaničara S. A. Čapligina (Сергей Алексеевич Чаплыгин).
Sednice seminara odrzavaju se u zgradi Matematickog instituta SANU, Knez Mihailova 36, na trecem spratu u sali 301f.
Rukovodilac Seminara dr Stana Nikcevic
