Strong approximation methods in group theory, an LMS/EPSRC Short course lecture notes

These are the lecture notes for the LMS/EPSRC short course on strong approximation methods in linear groups organized by Dan Segal in Oxford in September 2007.Comment: v4: Corollary 6.2 corrected, added a few small remark

Two remarks on the Suita conjecture

It is shown that the weak multidimensional Suita conjecture fails for any bounded non-pseudoconvex domain with $C^{1+\varepsilon_-}$-smooth boundary. On the other hand, it is proved that the weak converse to the Suita conjecture holds for any finitely connected planar domain.Comment: Ann. Pol. Math. (to appear

One-, Two-dimensional Model of Personal Identity and Personal Being, as an Accumulator of “Zombies” Ontology (Regressive Tendency of Combining a Living Body and a Corpse Within a Semantic Field of the “Body” Concept in 19 European Languages and in All Hie

The aim of research is revealing the correlation of one-, two-dimensional models of personal identity and the ontology of a dead body without signs of consciousness (“zombies”). Research methods are hermeneutic and systemic structural. The author pays special attention to the phenomena of “philosophical, social, soulless zombies”. It is specified that such concepts as anima (Latin), fren (Greek), 灵魂 (Chinese), 精神 (Chinese), आत्मन (atman) (Sanskrit), बुद्धि (Buddhi) (Sanskrit), رُوحٌ (ruh) (Arabic), הנשמה (Hebrew); רוח (Hebrew), ψϋχ'ή (psyche) (Greek), spirit (English), esprit” (French), gemüt (German), geist (German), Körper (German),body (English),corpus (Latin), Le corps (French), chair (French) contribute most to the deformation of personal identity. Both the transcendental form of identity (spirit, soul) and material (human body) are subject to deformation. Using the example of the substitution of the “god of the morning” (Lucifer) for the “devil” (Satan) within the Latin language, the practice of influencing the collective consciousness of people of the transformational power of letters-symbols relating to the structure of the alphabetical plan of two-dimensional dimension (as understood by A. Sviridov). It is revealed that the concepts of transformation of personal identity within 19 European languages and all hieroglyphic languages are created today by critical masses of people whose consciousness is congruent with the phenomenon of "social zombie"