Shevuot 30 - Shabbat May 31, 4 Sivan

What is an oath of testimony for which one is obligated to bring a sliding-scale sin offering? Anyone who cannot testify is excluded from responsibility, including women. The Gemara asks from where in the Torah is it derived that women cannot testify. They bring various braitot that all prove from the same verse, Devarim 19:17, each using a different drasha, that women cannot be witnesses. They learn other laws from that same verse regarding court cases, i.e. who stands and who sits, and requirements of the judges to be fair and balanced. What types of exceptions are made if a talmid chacham is being judged in the court?