Gian Carlo Rota Polish Seminar

Gian-Carlo Rota He worked on the theory of incidence algebras (which generalize the 19th-century theory of Möbius inversion) and popularized their study among combinatorialists, set the umbral calculus on a rigorous foundation, unified the theory of Sheffer sequences and polynomial sequences of binomial type, and worked on fundamental problems in probability theory.
http://en.wikipedia.org/wiki/Gian-Carlo_Rota

The Internet Gian Carlo Rota Polish Seminar

Getting started on 2008-12-16 by :	a.k.kwaśniewski
the member of the	Institute of Combinatorics and its Applications

as a Continuation of Gian Carlo Rota Polish Seminar

The Internet Gian Carlo Rota Polish Seminar Link Library

Seminar Articles

Seminar Affiliaded Articles

NEWS

links:

Rota Memorial Conference
A. K. Kwaśniewski
M. Dziemiańczuk
B.K. Kwaśniewski

Sylvester Night Mathemagics

[1] A. K. Kwaśniewski Ivan Bernoulli Series Universalissima, arXiv:math/0601016v1, [v1] Sun, 1 Jan 2006 05:51:45 GMT, Ganita Bharati vol. 28 No 1-2; (2006) 101- 109
[2] A. K. Kwaśniewski Graded posets zeta matrix formula arXiv:0901.0155v1, Thu, 1 Jan 2009 01:43:35 GMT

Seminar Themes

dates led by subjects

March 2010 A. K. Kwasniewski Subject 8 GHW algebra again
leitmotiv: : Graves –Heisenberg –Weyl (GHW) algebra - apart from differential and dual graded posets that bring together combinatorics, representation theory, topology, geometry and many more specific branches of mathematics and mathematical physics – seems to reappear now in a presumed connection: GHW algebra representation <-> Pascal-like triangles, which come up in pairs : “direct ” and “inverted” Pascal-like triangles. ( Inversion formulas?) A specific family of examples is delivered by “duality triads” and their Pascal-like triangles.
Fibonaciego ; Pascala; q-Gaussa; Stirlinga I; Stirlinga II; Pascal fractals; New_triangles; Fibonacci et Pascal; Pascal_Fibonacci

February 2010 A. K. Kwasniewski Subject 7 Lucas people are (p,q)-mumber people
leitmotiv: If Édouard Lucas had been used a=p and b= q notation, he would be perhaps recognized as the Grand Father of all "(p,q) - people"

December 2009 A. K. Kwasniewski Subject 6 On compositions of numbers and graphs
leitmotiv: The main purpose is to pose a couple of problems which are easily formulated thought some seem to be not yet solved. These problems are of general interest for discrete mathematics including a new twig of a bough of theory of graphs i.e. a given graph compositions.

August, September 2009 M. Dziemianczuk
A.K.Kwasniewski Subject 5 Generalizations of Fibonomial Coefficients
leitmotiv: to what extent one may make basic properties of F-nomials survive while extending the notion of binomials, incidence coefficients, Whitney numbers..etc...?

June, July 2009 A.K.Kwasniewski Subject 4 natural join versus ordinal sum
leitmotiv: Natural join construction of graded posets

April, May 2009 M. Dziemianczuki Subject 3 tiling, boxes, etc
leitmotiv: Is the problem of KoDAGs tiling solvable?

Feb, March 2009 A.K.Kwasniewski Subject 2 upside down notation
leitmotiv: Is the upside down notation efficiency - an indication? of a structure to be named?

Dec 2008
Jan 2009 A.K.Kwasniewski Subject 1 oDAGs & KoDAGs in Company
leitmotiv: oDAGs stem from where and whence?

dates	led by	subjects
March 2010	A. K. Kwasniewski	Subject 8 GHW algebra again leitmotiv: : Graves –Heisenberg –Weyl (GHW) algebra - apart from differential and dual graded posets that bring together combinatorics, representation theory, topology, geometry and many more specific branches of mathematics and mathematical physics – seems to reappear now in a presumed connection: GHW algebra representation <-> Pascal-like triangles, which come up in pairs : “direct ” and “inverted” Pascal-like triangles. ( Inversion formulas?) A specific family of examples is delivered by “duality triads” and their Pascal-like triangles. Fibonaciego ; Pascala; q-Gaussa; Stirlinga I; Stirlinga II; Pascal fractals; New_triangles; Fibonacci et Pascal; Pascal_Fibonacci
February 2010	A. K. Kwasniewski	Subject 7 Lucas people are (p,q)-mumber people leitmotiv: If Édouard Lucas had been used a=p and b= q notation, he would be perhaps recognized as the Grand Father of all "(p,q) - people"
December 2009	A. K. Kwasniewski	Subject 6 On compositions of numbers and graphs leitmotiv: The main purpose is to pose a couple of problems which are easily formulated thought some seem to be not yet solved. These problems are of general interest for discrete mathematics including a new twig of a bough of theory of graphs i.e. a given graph compositions.
August, September 2009	M. Dziemianczuk A.K.Kwasniewski	Subject 5 Generalizations of Fibonomial Coefficients leitmotiv: to what extent one may make basic properties of F-nomials survive while extending the notion of binomials, incidence coefficients, Whitney numbers..etc...?
June, July 2009	A.K.Kwasniewski	Subject 4 natural join versus ordinal sum leitmotiv: Natural join construction of graded posets
April, May 2009	M. Dziemianczuki	Subject 3 tiling, boxes, etc leitmotiv: Is the problem of KoDAGs tiling solvable?
Feb, March 2009	A.K.Kwasniewski	Subject 2 upside down notation leitmotiv: Is the upside down notation efficiency - an indication? of a structure to be named?
Dec 2008 Jan 2009	A.K.Kwasniewski	Subject 1 oDAGs & KoDAGs in Company leitmotiv: oDAGs stem from where and whence?