3 projets européens trouvés
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TERMINÉ
Limits of discrete structures (StrucLim)
Date du début: 1 févr. 2014, Date de fin: 31 janv. 2019,
Built on decades of deep research in ergodic theory, Szemeredi's regularity theory and statistical physics, a new subject is emerging whose goal is to study convergence and limits of various structures.The main idea is to regard very large structures in combinatorics and algebra as approximations of infinite analytic objects. This viewpoint brings new tools from analysis and topology into these su ...
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TERMINÉ
Low Dimensional Topology in Budapest (LTDBud)
Date du début: 1 avr. 2012, Date de fin: 31 mars 2017,
"Heegaard Floer theory. In this project (in collaboration with P. Ozsváth and Z. Szabó) we plan to extend our earlier results computing various versions of Heegaard Floer homologies purely combinatorially. We also plan to find combinatorial definitions of these invariants (as graded groups). Such results will potentially lead to a combinatorial description of 4-dimensional Heegaard Floer (mixed) ...
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TERMINÉ
Gaps between primes and almost primes. Patterns in primes and almost primes. Approximations to the twin prime and Goldbach conjectures (PRIMEGAPS)
Date du début: 1 nov. 2008, Date de fin: 31 oct. 2013,
"The twin prime conjecture, that n and n+2 are infinitely often primes simultaneously, is probably the oldest unsolved problem in mathematics. De Polignac (1849) conjectured that for every even value of h, n and n+h are infinitely often primes simultaneously. These are the most basic problems on gaps and patterns in primes. Another one is the conjecture of Waring (1770), stating that there are ar ...
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