**Stanisław Łojasiewicz** (9 October 1926 – 14 November 2002) was a Polish mathematician.^{[1]}

Stanisław Łojasiewicz | |
---|---|

Born | 9 October 1926 |

Died | 14 November 2002 (aged 76) |

Nationality | Poland |

Alma mater | Jagiellonian University |

Known for | Łojasiewicz inequality, Łojasiewicz factorization lemma |

Scientific career | |

Fields | Mathematics |

Institutions | Jagiellonian University |

Doctoral advisor | Tadeusz Ważewski |

At the end of the 1950s, he solved the problem of distribution division by analytic functions. Its solution opened the road to important results in the new theory of partial differential equations. The method established by
Łojasiewicz led him to advance the theory of semianalytic sets, which opened an important chapter in modern analysis.^{[1]}

The *Łojasiewicz Lectures*^{[2]} are a series of annual lectures in mathematics given at the Jagiellonian University in honour of Łojasiewicz.

Year | Lecturer | University | Country | Title |
---|---|---|---|---|

2010 | Shing-Tung Yau | Harvard University | China / United States | Coupled system of Hermitian metrics with Hermitian Yang-Mills system |

2011 | Richard S. Hamilton | Columbia University | United States | The Ricci flow in lower dimensions |

2012 | Bernard Malgrange | Université Henri Poincaré | France | Differential algebraic groups |

2013 | Neil Trudinger | Australian National University | Australia | Optimal transportation in the 21st century |

2014 | Fernando Codá Marquez | Princeton University | Brazil / United States | The min-max theory of minimal surfaces and applications |

2015 | Noga Alon | Tel Aviv University | Israel | Signrank and its applications in combinatorics and complexity |

2017 | Artur Avila | Instituto Nacional de Matemática Pura e Aplicada / Centre national de la recherche scientifique | Brazil / France | One-frequency Schrödinger operators and the almost reducibility conjecture |

2018 | Luis A. Caffarelli | University of Texas at Austin | Argentina / United States | Some models of segregation |

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^{a}^{b}Pawłucki, Wieslaw (2003), "Stanisław Łojasiewicz (1926–2002)" (PDF),*Roczniki Polskiego Towarzystwa Matematycznego*, Ser. II: Wiadomości Matematyczne (in Polish),**39**: 183–190. **^**"Łojasiewicz Lecture - Institute of Mathematics of the Jagiellonian University".*www.im.uj.edu.pl*. Retrieved 2016-12-27.

This is a partial list of notable Polish or Polish-speaking or -writing persons. Persons of partial Polish heritage have their respective ancestries credited.

Tadeusz WażewskiTadeusz Ważewski (24 September 1896 – 5 September 1972) was a Polish mathematician.

Ważewski made important contributions to the theory of ordinary differential equations, partial differential equations, control theory and the theory of analytic spaces. He is most famous for applying the topological concept of retract, introduced by Karol Borsuk to the study of the solutions of differential equations.

Łojasiewicz inequalityIn real algebraic geometry, the ** Łojasiewicz inequality**, named after Stanisław Łojasiewicz, gives an upper bound for the distance of a point to the nearest zero of a given real analytic function. Specifically, let ƒ : *U* → **R** be a real analytic function on an open set *U* in **R**^{n}, and let *Z* be the zero locus of ƒ. Assume that *Z* is not empty. Then for any compact set *K* in *U*, there exist positive constants α and *C* such that, for all *x* in *K*

Here α can be large.

The following form of this inequality is often seen in more analytic contexts: with the same assumptions on ƒ, for every *p* ∈ *U* there is a possibly smaller open neighborhood *W* of *p* and constants θ ∈ (0,1) and *c* > 0 such that

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