Konferenzen zum Thema Analysis in Mexiko

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1
Analysis on Singular Spaces
16. Mai 2021 - 21. Mai 2021 • Oaxaca, Mexiko
Veranstalter:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Zusammenfassung:
The presence of singularity in mathematics and physics is an omnipresent phenomena which is the subject of an enormous amount of current research. One reason for this is that techniques which are useful and well understood in the context of smooth spaces do not carry over automatically to singular spaces in general. Depending on the type of singularity involved, one might find that a theorem which is true in the smooth setting requires modification even to make sense in a particular singular setting, and a singular object with extra structure may lead to a generalization of a theorem in which that extra structure plays a role.
Eintrags-ID:
1364634
2
Real Polynomials: Counting and Stability
17. Okt 2021 - 22. Okt 2021 • Oaxaca, Mexiko
Veranstalter:
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Zusammenfassung:
Understanding the real solutions of polynomials or systems of polynomial equations is at the heart of many problems both in the realm of pure mathematics and in the mathematical modeling of networks in systems biology, in computer aided geometric design, or in the control of mechanisms. While there exist a lot of celebrated results (for example, bounds exploiting the signs of the coefficients of a univariate polynomial or bounds taking into account the number of terms), even some basic questions are still unsolved. There has been a recent explosion of activity in this area, where different tools have started to be connected in new and unexpected ways, such as tools from the theory of matroids, from fewnomial theory, or from convex algebraic geometry. This workshop will bring together experts from close but different areas in real algebraic geometry to collaborate and will lead to further progress (both theoretical and practical) on a number of problems on the real solutions of polynomials. Specific consideration is given on the problem of counting and bounding the number of real roots as well as on questions of stability.
Eintrags-ID:
1364760


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Stand vom 08. Juli 2020