Seminar za primenjenu matematiku, 22. jun 2010.

Detaljnije:

Naredni sastanak Seminara za primenjenu matematiku održaće se u utorak, 22.06.2010. u 14:15 u sali 301f MI SANU.

Predavač: Aleksandar Jurišić, Faculty of Computer and Information Science, University of Ljubljana

Naziv predavanja: USE OF ORTHOGONAL POLYNOMIALS IN DISCRETE MATHEMATICS

Abstract:

Orthogonal polynomials were developed in the late 19th century from a study of continued fractions by Chebyshev and were pursued by Markov, Stieltjes and by a few other mathematicians. Since then, applications have been developed in many areas of mathematics and physics. In our talk we will concentrate on their applications in discrete mathematics. For example, we show how to use them to improve efficient implementations of cryptosystems based on finite fields and in particular on elliptic curves. Most finite objects of sufficient regularity are closely related to certain distance-regular graphs, which can be in turn treated as combinatorial interpretations of certain orthogonal polynomials. We will exploit these connections and finally, we show that the determinant of a Toplitz matrix can be written as a product of two determinants of approximately half the size of the original one.

Predavač: Matjaž Urlep, PhD student, Faculty of Computer and Information Science, University of Ljubljana

Naziv predavanja: NONEXISTANCE OF CERTAIN DISTANCE-REGULAR GRAPHS

Abstract:

We prove that a distance-regular graph with the intersection array $$ \{(2r+1)(2r^2-1), 4r(r^2-1), 2r^2; 1, 2(r^2-1), 2r(2r^2-1)\}$$ for $r>1$ does not exist. First, the nonexistence is proven for $r>3$ by using triple intersection numbers and an equality in Krein conditions. Later, a more general proof for $r > 1$ is given, which also makes use of the balanced set condition due to Terwilliger.

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Predavanje prof Zorana Obradovića, 21. jun 2010.

Kolega prof Zoran Obradović, direktor Centra za Informacione Nauke i Tehnologiju (Temple Univerzitet, Filadelfija, USA) boraviće kratko u Beogradu i tom prilikom održaće predavanje 21. juna u 14:00 na Fakultetu Organizacionih Nauka (Jove Ilića 154), Novi Amfiteatar 2.

Naziv predavanja: Analysis of Temporal Social Networks and Approximation of the Markov Blanket in a Kernel-Induced Space

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IX konferencija Nove tehnologije i standardi: digitalizacija nacionalne baštine (nacionalni skup sa međunarodnim učešćem), 16. i 17. jun

Deveta po redu konferencija Nove tehnologije i standardi: digitalizacija nacionalne baštine održaće se 16. i 17. juna 2010. na Matematičkom fakultetu u Beogradu, sala 706 na IV spratu.

Registracija će se obaviti u sredu, 16. juna od 8:30 do 9:15, a svečano otvaranje skupa počinje u 9:15

Detalji o skupu mogu se naći na adresi:
http://www.ncd.matf.bg.ac.rs/conferences/sr/deveta_konf_2010.htm

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Skup "Istorijat logike u Srbiji", Matematički fakultet, 14-15. jun 2010.

Detaljnije:

Skup pod nazivom "Istorijat logike u Srbiji" održaće se 14. i 15. juna 2010. na Matematičkom fakultetu u Beogradu u sala 706 na IV spratu.

Program skupa može se naći ovde.

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Sastanak Odeljenja za matematiku, 18. jun 2010.

Detaljnije:

U petak, 18.06.2010. 14 časova, u sali 2 MI SANU, predavanje će održati Benjamin Matschke, Technische Universität - Berlin.

Naziv predavanja: Optimal bounds on the colored Tverberg problem and a transversal Tverberg-Vrećica type generalization

Abstract:  This is joint work with Pavle V. Blagojević and Gunter M. Ziegler.  We present an optimal colorful Tverberg-Vrećica type transversal theorem about transversals meeting convex hulls of rainbow partitions of several colored set in Euklidean space.  This is a "unifying" theorem. It implies among others a new tight colored Tverberg theorem for primes, which in turn implies the Barany-Larman conjecture (1992) for primes plus one, as well as variations of the famous ham sandwich theorem. On the surface these seem to have not much in common. Along the proof we obtain two results of independent interest: We present calculate the cohomological index for some joins of chessboard complexes, and establish a new Borsuk-Ulam type theorem for (Z_p)^m-equivariant bundles that generalizes results of Volovikov (1996) and Živaljević (1999).

detaljnije

Seminar Geometrija, vizuelizacija i obrazovanje sa primenama, 17. jun 2010.

Detaljnije: U četvrtak, 17.6. 2010. u 17:15 časova u sali 301f Matematičkog Instituta SANU, Knez Mihajlova 35, predavanje će održati Stana Nikčević.

Naziv  predavanja: "Krivina u Vajlovoj geometriji"

Apstrakt: Predstaviću osnovne pojmove vezane za Waylovu geometriju i osnovne karakteristike ove geometrije. Upoznaću Vas sa najnovijim rezultatima vezanim za geometrijsku realizaciju i krivinske dekompozicije u toj geometriji. Rezultati su dobijeni u zajedničkom radu sa Peter Gilkeyem (University of Oregon) i Udo Simonom  (Technische Universitat Berlin).

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Seminar Katedre za računarstvo i informatiku, 16. jun 2010.

Detaljnjije: Naredni sastanak Seminara Katedre za računarstvo biće održan u sredu, 16. juna 2010. u 18h u BIM sali.

Program seminara:

Davorka Golubović: "Primena tehnika istraživanja podataka u cilju uspostavljanja korelacije između antigenih regiona i neuređenih delova proteina" (magistarski rad)

Slobodanka Marjanović: "Klaster analiza bakterijskih genomskih ostrva" (magistarski rad).

Više informacija o seminaru, kao i apstrakte predavanja, moguće je naći na: http://computing.matf.bg.ac.rs

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Seminar Matematički metodi mehanike, 16. jun 2010.

Tokom školske 2009/2010. godine, u okviru Seminara Matematički metodi mehanike, održava se dvosemestralni kurs Torusna topologija. Kurs se organizuje u saradnji sa CGTA seminarom i održava se u Matematičkom institutu SANU, Kneza Mihaila 36, treći sprat (sala za seminare).

U sredu, 16. juna 2010. od 12-14h časova biće održano predavanje pod nazivom:

"Živa matematika-uvođenje mladih u naučni rad".

Pod pokroviteljstvom MMM i CGTA seminara počinje sa radom seminar "Živa matematika" namenjen studentima i najtalentovanijim profesorima koji nastavlja tradiciju "Vrtića CGTA" i drugih seminara namenjenim studentima.

Više detalja može se naći ovde.

Prilog sadrži inicijalni spisak problema kojima će se seminar baviti. Pozivamo Vas da dođete na prvi (zvanični) sastanak u sredu i sugerišete neke druge zanimljive teme i probleme.

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CGTA seminar, 15. jun 2010.

Detaljnije: Naredni sastanak CGTA seminara održaće se u utorak, 15.06.2010, od 18-20h na Matematičkom fakultetu (IV sprat, projektor sala).

Kreda Lutalica: "Neke primene topološke K-teorije".

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Seminar za primenjenu matematiku, 15. jun 2010.

Naredni sastanak Seminara za primenjenu matematiku održaće se u utorak, 15.06.2010. u 14:15 u sali 301f MI SANU.

Predavač: Dušan Ramljak, Beograd

Naziv predavanja: BEE COLONY OPTIMIZATION FOR THE  p-CENTER PROBLEM

Abstract: We consider the  p-Center Problem in the case of deterministic travel time (distances), with symmetric distance matrix. We apply the new heuristic based on the Bee Colony Optimization for solving this problem. The proposed algorithm is inspired by bees' behavior in the nature. We compared two variants of the Bee Colony Optimization algorithm, constructive and improvement one. The performed numerical experiments show that the improvement version of the algorithm outperforms the existing approaches from the literature.

(Joint work with Dušan Teodorović, Milica Šelmić, University of Belgrade Faculty of Transport and Traffic Engineering, Tatjana Davidović, Mathematical Institute)

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