tbranzov

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So far tbranzov has created 115 blog entries.
30 05, 2024

The International Conference Modern Methods in Nonlinear Elliptic and Parabolic PDE was opened in Plovdiv

2024-06-02T09:04:58+03:00May 30th, 2024|Conferences, News|

From May 27 to 31, 2024, the International Conference Modern Methods in Nonlinear Elliptic and Parabolic PDE is being held in Plovdiv. Organizers of the event are the International Center for Mathematical Sciences at the Institute of Mathematics and Informatics with the financial support of the Simons Foundation.

23 05, 2024

Fourth Annual Meeting of Young Bulgarian Mathematicians

2024-06-07T08:16:18+03:00May 23rd, 2024|Conferences, News|

The International Center for Mathematical Sciences – Sofia is organizing for a fourth consecutive year a meeting of young Bulgarian mathematicians from around the world. The conference will take place at the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences (IMI-BAS) on June 11 – 12, 2024.

23 05, 2024

Multivariate P- and Q-polynomial association schemes, talk by Eiichi Bannai

2024-05-23T15:54:14+03:00May 23rd, 2024|ICMS Seminar, News|

This talk is based on the two joint papers with Hirotake  Kurihara (Yamaguchi University), Da Zhao (East China University of Science  and Technology) and Yan Zhu (Shanghai University for Science and Technology).  

10 05, 2024

Hyperbolic amoebas, a talk by Mikhail Shkolnikov

2024-05-10T16:53:29+03:00May 10th, 2024|Geometry Seminar|

Classical amoebas serve as a tool to study algebraic varieties and as one of the entry points to tropical geometry. The original definition involves a logarithmic projection of a subvariety of a complex algebraic torus, which can be interpreted as forgetting the phase, i.e. the arguments of complex numbers. In group-theoretic terms, this projection map may be thought of as passing to the quotient by the maximal compact subgroup. Suppose one replaces the algebraic torus with a complex three-dimensional matrix group $PSL_2 \mathbb{C}$. In that case, the analogous projection naturally has a three-dimensional hyperbolic space as its target, and it still makes sense to consider images, i.e. hyperbolic amoebas, of complex algebraic varieties under this map. I will review some of the basic properties of hyperbolic amoebas, extending a fascinating interplay between complex and hyperbolic geometries.

22 04, 2024

Generalised Plucker formula, by Andrei Benguş-Lasnier

2024-04-22T12:08:56+03:00April 22nd, 2024|Geometry Seminar|

In order to classify objects in singularity theory and algebraic geometry, we define invariants associated to varieties or germs of singularities and hope to have enough tools to compute them easily. From classical projective duality, for any variety X, we can define a dual variety X∗ and we call the class of X the degree of X∗. Plücker’s formula allows one to compute this class for plane curves with a certain set of nodes, cusps and tacnodes.

8 04, 2024

Reading seminar of geometric Lubin-Tate theory, by Jiachang Xu – part III

2024-04-08T22:35:15+03:00April 8th, 2024|Geometry Seminar|

In the last few decades, Berkovich’s theory of k -analytic space has extended classic rigid geometry. Since k -analytic space has good topological properties, and the Berkovich analytification of algebraic varieties could be also dealt with via the geometry of the model and it has a strong connection with tropical geometry, this allows us to use the combinatorial techniques to study algebraic varieties. Our lectures will mainly discuss the contents of Berkovich space and its application in other aspects of mathematics, we plan to go over the basic properties of Berkovich space in both algebraic and topological ways for the first lecture. 

31 03, 2024

Reading seminar of geometric Lubin-Tate theory, by Jiachang Xu – part II

2024-03-31T12:10:49+03:00March 31st, 2024|Geometry Seminar|

In the last few decades, Berkovich’s theory of k -analytic space has extended classic rigid geometry. Since k -analytic space has good topological properties, and the Berkovich analytification of algebraic varieties could be also dealt with via the geometry of the model and it has a strong connection with tropical geometry, this allows us to use the combinatorial techniques to study algebraic varieties. Our lectures will mainly discuss the contents of Berkovich space and its application in other aspects of mathematics, we plan to go over the basic properties of Berkovich space in both algebraic and topological ways for the first lecture. 

25 03, 2024

Reading seminar of geometric Lubin-Tate theory, by Jiachang Xu – part I

2024-03-31T12:10:27+03:00March 25th, 2024|Geometry Seminar|

In the last few decades, Berkovich’s theory of k -analytic space has extended classic rigid geometry. Since k -analytic space has good topological properties, and the Berkovich analytification of algebraic varieties could be also dealt with via the geometry of the model and it has a strong connection with tropical geometry, this allows us to use the combinatorial techniques to study algebraic varieties. Our lectures will mainly discuss the contents of Berkovich space and its application in other aspects of mathematics, we plan to go over the basic properties of Berkovich space in both algebraic and topological ways for the first lecture. 

13 03, 2024

Ellipsoid superpotentials: obstructing symplectic embeddings by singular algebraic curves, a talk by Grigory Mikhalkin

2024-03-13T14:20:00+02:00March 13th, 2024|Geometry Seminar, News|

How singular can be a local branch of a plane algebraic curve of a given degree d? A remarkable series of real algebraic curves was constructed by Stepan Orevkov. It is based on even-indexed numbers in the Fibonacci series: a degree 5 curve with a 13/2 cusp, a degree 13 curve with a 34/5-cusp, and so on. We discuss this and other series of algebraic curves in the context of the problem of symplectic packing of an ellipsoid into a ball...

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