1. Future Perspectives on Theory at RBRC Color Glass Condensate: predictions for: "ridge", elliptical flow.... Quark-Gluon Plasma: fluctuations, effects of magnetic fields... matrix models with quarks predictions for: energy loss, collisional & radiative; dileptons, photons.... Cold, dense quark matter: neutron stars, FAIR @ GSI... "quarkyonic" matter

2. "Phase diagram" for Color Glass Condensate Several directions: overall momentum Q (~ 1/distance) Y ~ "rapidity" (momentum along beam), A ~ atomic number Transition from regions with dense gluons to dilute? Momentum (~ 1/distance) => "Rapidity" ~ momentum along beam↑

3. Much exciting physics to come: Centrality and rapidity dependence of R_pA, J/Psi and heavy quark production, two particle correlations, photon triggered correlations, Drell Yan…. Some quantities to compute in Color Glass: R pA R pA = ratio of particle in pA to pp: dependence on centrality, rapidity... Production of heavy quarks, both charm and bottom Correlations: photon-jet, jet-jet...

4. More to compute in Color Glass: elliptical flow Fluctuations in sources of color fields, multiplicity, create higher moments of elliptical flow, e.g., "v 3 " Measured in AA collisions <= predictions from Color Glass IP-Glasma = Color Glass Perhaps: useful for pp collisions at high multiplicity?

5. Left: PbPb, peripheral, 1/10 Right: pPb, HIGH muliplicity, 1/10 6. "Triangular" elliptical flow SAME in pPb as in PbPb! Astonishing result: unexpected universality between fluctuations

6. "Ridge" seen in pp collisions at high multiplicity!

8. "Ridge" in Color Glass: pp vs pA At fixed multiplicity, Fluctuations in sources of color fields, multiplicity, create higher moments of elliptical flow, e.g., "v 3 "

9. Phase diagram of QCD: rich structure Baryon Density => Temperature↑ Relavent for heavy ion colliders: RHIC, LHC; to come: FAIR, NICA....

10. Open questions for the phase diagram of QCD 1. Zero density: nature of the region near transition temperature? Accessible by lattice: extension from equilibrium to near equi.? Need transport coefficients! Shear viscosity, energy loss, photons... 2. Critical endpoint in plane at nonzero density? Could be seen at RHIC (low energy), FAIR, NICA.... Experimental signals in fluctuations, etc. 3. "Quarkyonic" matter: quark Fermi sea plus confined Fermi surface Possible rich phase structure: "chiral spirals" = spontaneous breaking 4. Triple point: for confined, deconfined, and quarkyonic matter? 5. Color superconductivity? (Colored) Cooper pairs from gluon exchange. New lines of 1st order transitions, critical endpoints, etc.?

14. Critical endpoint and fluctuations Fluctuations diverge near critical endpoint. Need to understand how to approach the endpoint in the plane of T and μ? Below: fluctuations in conserved quantities ~ baryon number (Bzdak)