The group’s effort to take on an aggressive and expansive agenda reflects the enormous energy on the far left heading into the 2020 election, and part of the appeal of democratic socialism in this cycle: setting an array of big goals to help deepen a movement that goes beyond one-off protest events and marches.

For many young, progressive Americans, democratic socialism is a far better representation of their ambitions of far-reaching structural change across the economy and society than the agenda of the Democratic Party, which they see as overly influenced by corporate interests, big-money donors and moderate traditionalists.

The attempt at Ohio State to define objectives also comes as the Democratic presidential contenders are locked in a battle over what direction the party should take in order to win in 2020. That dynamic will be on display Tuesday night less than 15 miles from O.S.U., when the candidates gather for the fourth primary debate at Otterbein University in Westerville.

Two top candidates, Senators Elizabeth Warren and Bernie Sanders, have successfully pushed the primary conversation to the left. The D.S.A. saw drastic growth in its membership when Mr. Sanders, himself a democratic socialist, ran for president in 2016, and there are now nearly 60,000 members across the country. (Ms. Warren, who has pulled ahead of Mr. Sanders in polling and is a leading candidate for the nomination, backs many of the same progressive priorities as Mr. Sanders, but has also said she is “a capitalist to my bones.”)