Transparencies of some talks given by Christian Krattenthaler
Was ist Diskrete Mathematik - und wozu?
Gespiegelt und verkehrt: Zur Kombinatorik von musikalischen Themen
Patience legen und sortieren: Von einem (mathematischen) "Zaubertrick" bis zur Fieldsmedaille
Abzählung von Pflasterungen
40 years of Séminaire Lotharingien de Combinatoire
Musik UND Mathematik? Persönliche Ansichten zu einer schwierigen Beziehung
Music AND Mathematics? Personal Views of a Difficult Relationship
(video, plus some additional music)
Srinivasa Ramanujan: Life and Mathematics
Part 1
Part 2
Advanced Determinant Calculus
(overhead transparencies)
Advanced Determinant Calculus
(beamer presentation)
Identities for fully packed loop configurations and semistandard tableaux
(video)
Proof of some conjectures of Jean-Bernard Zuber on fully packed loop configurations
Enumeration of rhombus tilings and determinant evaluations
Part 1
Part 2
Exact enumeration of plane partitions and rhombus tilings
(video)
The poset of bipartitions
Combinatorial determinants
Video
of a 45 minutes version
Hypergeometrics in action!
Some determinants of path generating functions
Non-crossing partitions for complex reflection groups and cyclic sieving
A method for determining the mod-2
k
behaviour of (certain) recursive sequences
Combinatorial sequences modulo powers of 3
Combinatorics of Discrete Lattice Models
(video)
The second life of George Andrews' multidimensional extension of Watson's transformation formula
A Riccati differential equation and free subgroup numbers for
PSL
2
(
Z
) modulo powers of primes
A (semi-) automatic method for the determination of differentially algebraic integer sequences modulo powers of 2 and 3
Two applications of useful functions
A dual of MacMahon's theorem on plane partitions
Positive
m
-divisible non-crossing partitions and their cyclic sieving
Enumeration of standard Young tableaux of shapes of the form ``staircase minus rectangle"
A factorisation theorem for the number of rhombus tilings of a hexagon with triangular holes
Non-intersecting lattice paths, classical group characters, and multivariate hypergeometric series
Truncated versions of a lemma of Dwork and
p
-divisibility of arithmetic functions
RSK correspondence, jeu de taquin, and growth diagrams
A transformation formula for elliptic hypergeometric series: three applications
Elliptic hypergeometric series and applications
A joint central limit theorem for the sum-of-digits function, and asymptotic divisibility of Catalan-like sequences
Chen Wang's proof of the Borwein Conjecture
Determinant identities for moments of orthogonal polynomials
(
video
of a 50 minutes version)
Bounded Dyck paths, bounded alternating sequences, orthogonal polynomials, and reciprocity
Proofs of Borwein Conjectures
(
video
)
Identities for cylindric Schur functions
Domino tilings of generalized Aztec triangles
Domino tilings of generalised Aztec triangles and determinant evaluations
(
video
)
Congruence properties of Taylor coefficients of modular forms
Uvarov's formula - a thorough discussion