#### Alladi Ramakrishnan Hall

#### Emergent Gravity and geometric T-duality

#### Raju Roychowdhury

##### University of Sao Paulo, Brazil

*Darboux theorem and Moser lemma in symplectic geometry are the two*

essential ingredients of emergent gravity. Generalized geometry naturally

provides the framework for such a systematic approach to non-symmetric

metric gravity and gives rise to the group of Courant automorphism $Diff(M)

\ltimes \Omega_{closed}^{2}(M)$ for the Pontryagin bundle $TM \oplus T^*M$. As

further consequences of generalized geometry and Courant algebroid structure

we found the imprints of Dirac structure in emergent gravity. The

non-degeneracy and closure of the symplectic 2-form enable us to set up a

connection between emergent gravity and Big isotropic structure of Vaisman. We

also propose a geometric T-dual of emergent gravity implemented using Gysin

sequence in the cohomology of oriented circle bundles.

Done