National Research University – Higher School of Economics

About: National Research University – Higher School of Economics is a education organization based out in Moscow, Russia. It is known for research contribution in the topics: Population & Politics. The organization has 12873 authors who have published 23376 publications receiving 256396 citations.

Exceptional collections on isotropic Grassmannians

Abstract: We introduce a new construction of exceptional objects in the derived category of coherent sheaves on a compact homogeneous space of a semisimple algebraic group and show that it produces exceptional collections of the length equal to the rank of the Grothendieck group on homogeneous spaces of all classical groups.

Introducing time perspective coaching: A new approach to improve time management and enhance well-being

Abstract: This article provides an overview of coaching methods and interventions that address different forms of imbalance in clients' time perspectives, proposing a fresh look on dealing with multiple time management issues. We selected different coaching intervention techniques according to the time perspective theory, which distinguishes between five different time perspectives: Past Negative, Past Positive, Present Fatalistic, Present Hedonistic and Future. The selection was made based on the literature review and expertise gained through practical experience of coaching. As a result, our paper offers a step-by-step guide for practitioners on how to start with time perspective coaching: from performing initial diagnostics, to distinguishing problems associated with excessive reliance on particular time frames and providing practical tools that can help individuals to overcome the negative consequences associated with them. This paper presents an alternative approach to working with time management related issues and to developing a healthier relationship with time in general. Research shows that having a balanced time perspective improves well-being and productivity on many levels: work-related, social and personal.

On two geometric realizations of an affine Hecke algebra

Abstract: The article is a contribution to the local theory of geometric Langlands duality. The main result is a categorification of the isomorphism between the (extended) affine Hecke algebra associated to a reductive group $G$ and Grothendieck group of equivariant coherent sheaves on Steinberg variety of Langlands dual group ${G\check {\ }}$ ; this isomorphism due to Kazhdan–Lusztig and Ginzburg is a key step in the proof of tamely ramified local Langlands conjectures. The paper is a continuation of the author’s joint work with Arkhipov, it relies on the technical material developed in a joint work with Yun.

Angular analysis of the rare decay B s 0 $$ {B}_s^0 $$ → ϕμ + μ −

Abstract: An angular analysis of the rare decay $$ {B}_s^0 $$ → ϕμ+μ− is presented, using proton-proton collision data collected by the LHCb experiment at centre-of-mass energies of 7, 8 and 13 TeV, corresponding to an integrated luminosity of 8.4 fb−1. The observables describing the angular distributions of the decay $$ {B}_s^0 $$ → ϕμ+μ− are determined in regions of q2, the square of the dimuon invariant mass. The results are consistent with Standard Model predictions.

Finite Type Modules and Bethe Ansatz for Quantum Toroidal $${\mathfrak{gl}_1}$$ gl 1

Abstract: We study highest weight representations of the Borel subalgebra of the quantum toroidal $${\mathfrak{gl}_1}$$ algebra with finite-dimensional weight spaces. In particular, we develop the q-character theory for such modules. We introduce and study the subcategory of ‘finite type’ modules. By definition, a module over the Borel subalgebra is finite type if the Cartan like current $${\psi^+(z)}$$ has a finite number of eigenvalues, even though the module itself can be infinite dimensional. We use our results to diagonalize the transfer matrix T V,W (u; p) analogous to those of the six vertex model. In our setting T V,W (u; p) acts in a tensor product W of Fock spaces and V is a highest weight module over the Borel subalgebra of quantum toroidal $${\mathfrak{gl}_1}$$ with finite-dimensional weight spaces. Namely we show that for a special choice of finite type modules V the corresponding transfer matrices, Q(u; p) and $${\mathcal{T}(u;p)}$$ , are polynomials in u and satisfy a two-term TQ relation. We use this relation to prove the Bethe Ansatz equation for the zeroes of the eigenvalues of Q(u; p). Then we show that the eigenvalues of T V,W (u; p) are given by an appropriate substitution of eigenvalues of Q(u; p) into the q-character of V.