$E_8$, the most exceptional group

Impacts of climate change on the world's most exceptional ecoregions.

The current rate of warming due to increases in greenhouse gas (GHG) emissions is very likely unprecedented over the last 10,000 y. Although the majority of countries have adopted the view that global warming must be limited to <2 °C, current GHG emission rates and nonagreement at Copenhagen in December 2009 increase the likelihood of this limit being exceeded by 2100. Extensive evidence has li...

On the topology of the exceptional Lie group G 2

Authors- the most dangerous pressure group

Research scientists, academicians including faculty members in medical institutions under great pressure to publish papers to get promotions and higher grade indulge in all sort of scientific misconduct all over the world. Some of these include plagiarism, salami slicing, ghost authorship, falsification of data, fabrication of data and at times duplicate submissions etc. The revolution in infor...

Mordell Exceptional Locus for Subvarieties of the Additive Group

We define the Mordell exceptional locus Z(V ) for affine varieties V ⊂ Ga with respect to the action of a product of Drinfeld modules on the coordinates of Ga. We show that Z(V ) is a closed subset of V . We also show that there are finitely many maximal algebraic φmodules whose translates lie in V . Our results are motivated by DenisMordell-Lang conjecture for Drinfeld modules.

Exceptional among-lineage variation in diversification rates during the radiation of Australia's most diverse vertebrate clade.

The disparity in species richness among groups of organisms is one of the most pervasive features of life on earth. A number of studies have addressed this pattern across higher taxa (e.g. 'beetles'), but we know much less about the generality and causal basis of the variation in diversity within evolutionary radiations at lower taxonomic scales. Here, we address the causes of variation in spec...