[Turkmath:256] Seminars by Peter Paule and Florian Pausinger at Sabanci University (Feb 26 Thursday, 14:30)

[Canan Kasikci]

Merhaba,

26 Subat Persembe gunu Sabanci Universitesinde duzenlenecek olan ve
asagida detaylarini bulacaginiz etkinlige katiliminiz bizi mutlu edecektir.

Iyi gunler dilegiyle,

Canan Kasikci​

​Ulasim icin: ​http://www.sabanciuniv.edu/tr/ulasim


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​
*An Afternoon on ​M​odular ​Forms, ​C​ombinatorics, Computational *
*​T​opology*
* and ​A​pplications*
​*26 February, 2015, Sabanci University​ (FENS 2008)*


*14.30-15.30:* Peter Paule: Combinatorics, Modular Forms, and Computer
Algebra
*15.45-16.45:* Florian Pausinger: Persistent
​H​
omology and its use in
​D​
igital
​I
mage
​A​
nalysis

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​
​
*Combinatorics, Modular Forms, and Computer Algebra*
*by Peter Paule, RISC, JKU, Linz, Austria*

In a joint project with George Andrews, aspects of MacMahon's partition
analysis have led us to consider broken partition diamonds, an infinite
family of combinatorial objects whose generating functions give rise to
a variety of number theoretic congruences. Recently, in the context of
modular forms, Silviu Radu has set up an algorithmic machinery to prove
such congruences automatically. The talk reports on recent developments,
some being joint work with Radu, which combine methods from enumerative
combinatorics and symbolic analysis (e.g. Riemann surfaces) with
computer
​ algebra.​
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*Persistent homology and its use in Digital Image Analysis*
*by Florian Pausinger, IST, Vienna, Austria*


Persistent homology is an algebraic tool for quantifying topological
features of
shapes and functions, which has recently found wide applications in data
and
shape analysis. In the first and introductory part of this talk, I aim to
present the
underlying algebraic ideas and basic concepts of this very active field of
research. In the second part, I plan to sketch a concrete application of
this concept to digital image processing.
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