I describe some of the principal landmarks coming up in the medium to long term future of observational extragalactic astronomy. Rather than attempting to compile an exhaustive catalogue, I have instead made a completely biased sample of some of the developments across the electromagnetic spectrum (including x-ray, optical, infra-red, submillimetre and radio) that seemed most exciting to me. Among the 'greatest hits' I have picked are XEUS, GAIA, NGST, OWL, ALMA and SKA.PACS numbers: 9555, 9862, 9880
PACS. 03.70 -Theory of quantized fields.Abstract. -Renormalization group equations for massless GUT'S in curved space-time with nontrivial topology are formulated. The asymptotics of the effective action both at high and low energies are obtained. It is shown that the Casimir energy contribution at high curvature (early universe) becomes nonessential in the effective action.
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