I will begin by describing an interacting model in Quantum Mechanics where exact results a bout the ground state can be established by using tools from topology. I w ill then argue that such tools are also useful for tackling interesting pr oblems in Quantum Field Theory. In particular\, I will review Yang-Mills t heory and argue that using topology one can make several predictions about its possible phases. We will then also extend the considerations to Quant um Chromodynamics and discuss possible connections with particle physics p henomenology and with condensed matter physics.

\n DTSTART:20181207T203000Z LOCATION:Physics Building\, Room 204 SUMMARY: Using Topology to Solve Strongly Coupled Quantum Field Theories END:VEVENT END:VCALENDAR