Beitzah 21 - 1st Day of Sukkot, September 21, 15 Tishrei

This month's learning is dedicated for a refuah shleima for Noam Eliezer ben Yael Chaya v'Aytan Yehoshua. Is it possible to slaughter an animal on Yom Tov if it is jointly owned by a Jew and a gentile? How is it different from vow and gift offerings? Is it different preparing a dough owned jointly by a Jew and a gentile? Can one invite a gentile for a meal on the holiday? Should there be a concern that he will cook more food because the gentile is coming? Is that an issue? If so, is the law more lenient on Shabbat where there is no such concern? There is a dispute between Beit Shamai and Beit Hillel is whether it is possible to light a fire for heating or water for washing. Rabban Gamliel was stringent like Beit Shamai in three matters. What were they?