1.1. We learnt of the Semiinfinite Flag Space from B.Feigin and E.Frenkel in the late 80-s. Since then we tried to understand this remarkable object. It appears that it was essentially constructed, but under different disguises, by V.Drinfeld and G.Lusztig in the early 80-s. Another recent discovery (BeilinsonDrinfeld Grassmannian) turned out to conceal a new incarnation of Semiinfinite Flags. ...

one aspect of self-knowledge is consisted of interaction between soul and actions, ethics and knowledge. according to sadrā's opinion, soul is united with its acquired knowledge and long-term dispositions. the main principles of the theory include:nivocal of entity, (principality of existence) and its gradation) substantial motion of soul,identity of the knower and the known,bodily conting...

Abstract We identify the exit path $\infty $-category of reductive Borel–Serre compactification as nerve a $1$-category defined purely in terms rational parabolic subgroups and their unipotent radicals. As immediate consequences, we fundamental group compactification, recovering result Ji–Murty–Saper–Scherk, obtain combinatorial incarnation constructible complexes sheaves on elements derived fu...

We report an ongoing attempt to establish in algebraic geometry certain analogues of topological ideas, The main goal is to associate to a scheme X over a commutative ring k its “relative motivic homology” which is again an algebro geometric object over the base k. This is motivated by Number Theory, so the Poincare duality for this relative motivic homology should be an algebro geometric incar...

Incarnate bodies in the first-person view virtual reality, especially with a head-mounted display, could impact cognitive processes relying on self-representation, such as memory, emotion, or sense of presence. The goal this study is to investigate these effects by comparing adults’ and preadolescents’ behaviors. We manipulated incarnation presenting experience without an avatar (full-body vers...

This paper investigates the evolvability of an implicit embryogeny-based representation for the evolution of 3-D morphologies. Previous results using this representation have shown that this particular incarnation of an implicit embryogeny does not lend itself well to evolution. Two different experiments are described, the results of which suggest that a many-to-one genotypeto-phenotype mapping...

In this contribution I recall how people working in the late 1960s on the dual resonance model came to the surprising discovery of a Hagedorn-like spectrum, and why they should not have been surprised. I will then turn to discussing the Hagedorn spectrum from a string theory viewpoint (which adds a huge degeneracy to the exponential spectrum). Finally, I will discuss how all this can be reinter...