The Met: Live in HD will resume at Guild Hall at noon on Saturday with Alexander Borodin’s epic “Prince Igor.” Famous for its Polovtsian dances, the opera is being staged at the Met for the first time in almost 100 years. Dmitri Tcherniakov’s new production is a psychological journey through the mind of its protagonist, played by Ildar Abdrazakov, with the founding of Russia as its backdrop. Tickets to the four-and-a-half-hour program are $22, $20 for members, $15 for students.