Category Seminars

Extendability of certain graph products

2016-11-21 10:00-11:00 FAMNIT-POŠTA Nina Chiarelli Extendability of certain graph products A graph G of even order is k-extendable if it has at least 2 k+2 vertices, contains a matching of size k, and if every k-matching is contained in a…

Cubic arc-transitive k-circulants

2016-11-14 10:00-11:00 FAMNIT-POŠTA István Kovács (UP IAM, UP FAMNIT) Cubic arc-transitive k-circulants For a positive integer k, a graph is called a k-circulant if its automorphism group contains a cyclic semiregular subgroup with k orbits on the vertices. In this…

The Plateau problem

2016-10-24 10:00-11:00 FAMNIT-VP Guido de Philippis (SISSA Trieste) The Plateau problem In its classical formulation Plateau problem asks to find the surface of minimal area spanning a given boundary. Understanding the proper notion of surface, area and of “spanning a…

Pascal’s Hexagrammum and Octagrammum Mysticum

2016-10-10 10:00-11:00 FAMNIT-POŠTA Đorđe Baralić (Mathematical Institute SASA, Belgrade) Pascal’s Hexagrammum and Octagrammum Mysticum We prove several generalizations of ramarkable Pascal’s theorem which states that if we draw a hexagon inscribed in a conic section then the three pairs of…

Optimal switching among different hedging strategies

2016-06-06 10:00-11:00 FAMNIT-Muzejski1 Ana Zalokar (UP IAM & UP FAMNIT) Optimal switching among different hedging strategies The motivation for our research problem comes from hedging reserves in life insurance policies with guarantees. Since some supervisory authority advise to take a…

Full characterization of generalized bent functions

2016-06-06 11:00-12:00 FAMNIT-Muzejski1 Samir Hodžić (UP IAM & UP FAMNIT) Full characterization of generalized bent functions In difference to many recent articles that deal with generalized bent (gbent) functions $f:\mathbb{Z}_2^n \rightarrow \mathbb{Z}_q$ for certain small valued $q\in \{4,8,16 \}$, we give…

Bourgin-Yang theorems for the $p$-toral groups

2016-06-09 10:00-11:00 FAMNIT-Muzejski3 Waclaw Marzantowicz (Adam Mickiewicz University, Poznań, Poland) Bourgin-Yang theorems for the $p$-toral groups In 1933 S. Ulam posed and K. Borsuk showed that if $n>m$ \newline then {\bf{it is impossible}} to map $f: S^n \to S^m$ \centerline{preserving…

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