NuSym23, XIth International Symposium on Nuclear Symmetry Energy

The investigation of the nuclear equation of state (EoS) has been fundamental to the exploration of the QCD phase diagram at non-zero baryonic densities. This has garnered multi-messenger interest from nuclear theory, astrophysics, and heavy-ion collisions, especially due to its potential synergy with astrophysical objects and events, such as binary neutron mergers. At densities greater than twice the nuclear saturation density ($\rho >2{\rho }_{sat}$), the nuclear EoS is primarily constrained by astrophysical observations. Therefore, heavy-ion collisions at corresponding energies ($E_{beam}\approx 2-10A\text{GeV}$), accessible at the currently operating Relativistic Heavy Ion Collider (RHIC) and forthcoming Facility for Antiproton and Ion Research (FAIR), offer a complementary source to study the nuclear EoS. This contribution will talk about the EoS perspectives with the flagship heavy-ion collision experiments at aforementioned facilities, namely the Solenoidal Tracker at RHIC (STAR) and Compressed Baryonic Matter (CBM) at FAIR.