An interesting Math paper

Unique Decomposition of tensor products of irreducible representations of simple algebraic groups

We show that a tensor product of irreducible, finite dimensional representations of a simple Lie algebra over a field of characteristic zero, determines the individual constituents uniquely. This is analogous to the uniqueness of prime factorisation of natural numbers.

A trek idea

Last few dreams have been about trekking --
start from Bhatwari - Dayara - Dodi Tal - Darwa Pass - Yamunotri - Roopkund - Har-ki-dun - Borasu/Rupin- Sangla- Chitkul-Charang la - Charang-Thangi- Rekong Peo and out.

Sounds lovely - and its even doable - especially if one starts from Peo. If you stop at Har ki Dun its realistic even for me :-)

Quote

God may not play dice with the Universe, but there's something strange going on with the prime numbers! Paul Erdos

Some quotes

• It seems sometimes that through a preoccupation with science, we acquire a firmer hold over the vicissitudes of life and meet them with greater calm, but in reality we have done no more than to find a way to escape from our sorrows Hermann Minkowski in a letter to David Hilbert
  


• Andre Weil on how the charm of an analogy evaporates when you find a generalization that encompasses both terms:
  The day dawns when the illusion vanishes; intuition turns to certitude; the twin theories reveal their common source before disappearing; as the Gita teaches us, knowledge and indifference are attained at the same moment. Metaphysics has become mathematics, ready to form the material for a treatise whose icy beauty no longer has the power to move us.
  

Some interesting looking papers

• Background independent geometry and Hopf cyclic cohomology by Connes and Moscovici: The intriguing comment (from the abstract) is "the geometric framework that allowed us to treat the `space of leaves' of a general foliation provides a `background independent' set-up for geometry that could be of relevance to the handling of the the background independence problem in quantum gravity"

• From Primordial quantum fluctuations to the anisotropies of the CMBR : A detailed review - maybe useful someday.
  

• A Tractable Example of Perturbation Theory with a Field Cutoff: the Anharmonic Oscillator Perhaps something interesting about the simplest qft


• Between classical and Quantum : This is a review of how classical mechanics arises from Quantum mechanics ( h-> 0, or large number so that decoherence and consistent histories scheme holds)
  

There! I did it.

Didn't expect to succumb - but this could function like a refrigerator door - for those yellow post-its...

I would like to link to articles (with/out comments) which I find interesting.