25 JAN 2023
16:30 - 18:00

I will give a survey of some problems and recent results concerning the link between the monodromies of structure connections on certain Frobenius manifolds with the numerology of the derived categories of Fano varieties.





Zoom link:


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Meeting ID: 927 0833 2316


Passcode: 692489








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4 JAN 2023
16:00 - 17:00

Bell non-locality and its experimental realizations are celebrated results in quantum physics. Non-locality asserts that certain correlations in nature cannot be explained classically, i.e., by the local hidden variable model. In Bell's setting we study correlations between two or more distant parties who share a single source in common. Recently, by the development of quantum communication networks, the more general setup of non-locality in networks is also studied. In this setup, the parties have several sources in common that are shared through a network, so we expect richer non-locality in networks comparing to the standard Bell's setup. In this talk after an introduction to non-locality, I will explain some examples of non-locality in networks.

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20 DEC 2022
14:30 - 16:00

With G a complex reductive group, let XrG denote the G-character varieties of free group Fr, of rank r, and XirrG ⊂ XrG be the locus of irreducible representation conjugacy classes. In this talk we shall present a result showing that the mixed Hodge structures on the cohomology groups of XrSLn and of XrPGLn, and on the compactly supported cohomology groups of the irreducible loci XirrSLn and XirrPGLn are isomorphic, for any n,r ∈ N. The proof uses a natural stratification of XrG by polystable type coming from affine GIT and the combinatorics of partitions. In particular, this result would imply their E-polynomials coincide, settling the question raised by Lawton-Muñoz. This is based on joint work with Carlos Florentino and Alfonso Zamora.

 


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Meeting ID: 9086116889


Passcode: 362880

13 DEC 2022
13:00 - 14:30

This talk briefly explains how to find closed simply connected Sasaki-Einstein 5-manifolds from K-stable log del Pezzo surfaces. It then lists closed simply connected 5-manifolds that are known so far to admit Sasaki-Einstein metrics. It also presents possible candidates for Sasaki-Einstein 5- manifolds to complete the classification of closed simply connected Sasaki-Einstein 5-manifolds.


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Meeting ID: 9086116889


Passcode: 362880

29 NOV 2022
16:30 - 18:00

First, I survey know results on finite groups of birational transformations of higher-dimensional algebraic varieties.

This theory has been significantly developed during the last 10 years due to the success of the minimal model program.

Then I will talk about finite groups of birational transformations of surfaces over fields of positive characteristic.

In particular, I will discuss a recent result on Jordan property of Cremona groups over finite fields (joint with Constantin Shramov). 



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Meeting ID: 9086116889

Passcode: 362880

17 NOV 2022
11:00 - 13:00

The ring F_{p^m} + uF_{p^m} is a finite chain ring of nilpotency index 2, characteristic p and the unique maximal ideal uF_{p^m}. Dinh et al. (Discrete Mathematics 341 (2018) 324-335) obtained all self-dual constacyclic codes of length p^s over R_2 = F_{p^m} + uF_{p^m}, where p is a prime number and u^2 = 0. In this work, we determine the structure of (Euclidean) dual of some special skew cyclic codes of length p^s over R_2, and establish all of them which are self-dual.

As a special case, we conclude all of results appeared in the above paper for cyclic codes.



Link:

https://vmeeting.ipm.ir/b/mat-9px-g3c

15 NOV 2022
14:30 - 16:00

In a joint work with C. Ciliberto we study the Hessian map h_{d,r} which associates to any hypersurface of degree d>=3 in P^r its Hessian hypersurface, which is the determinant of the Hessian matrix. We prove that h_{d,r} is generically finite unless h_{3,1}, and in the binary case h_{d,1} is birational onto its image if d>=5, which is sharp. We conjecture that h_{d,r} is birational onto its image unless h_{3,1}, h_{4,1} and h_{3,2}, these exceptional cases were well known in classical geometry. The first evidence for our conjecture is given by h_{3,3} (the case of cubic surfaces) which is again birational onto its image.



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Meeting ID: 9086116889

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3 NOV 2022
11:00 - 13:00

Abstract:

In this talk I will discuss the symbolic powers of the edge ideal of graphs and talk about the recent development of Minh's conjecture. Then I would like to discuss the necessary and sucient condition for the equality of the symbolic powers of edge ideals of weighted oriented graphs.



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Meeting ID: 9086116889

Passcode: 362880